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Finding the Fourth Proportional to 510,746.40, 766,119.60 and 472,364.55

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Solution

The fourth proportional to 510,746.40, 766,119.60 and 472,364.55 is: 708,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,746.40 : 766,119.60 = 472,364.55 : x
  2. Step 2: Convert to fraction form
    510,746.40/766,119.60 = 472,364.55/x
  3. Step 3: Cross multiply
    510,746.40x = 766,119.60 × 472,364.55
  4. Step 4: Simplify right side
    510,746.40x = 361,887,740,100.18
  5. Step 5: Solve for x
    x = 361,887,740,100.18/510,746.40
  6. Step 6: Final answer
    x = 708,546.83

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.