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Finding the Fourth Proportional to 510,077.70, 765,116.55 and 421,431.30

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Solution

The fourth proportional to 510,077.70, 765,116.55 and 421,431.30 is: 632,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,077.70 : 765,116.55 = 421,431.30 : x
  2. Step 2: Convert to fraction form
    510,077.70/765,116.55 = 421,431.30/x
  3. Step 3: Cross multiply
    510,077.70x = 765,116.55 × 421,431.30
  4. Step 4: Simplify right side
    510,077.70x = 322,444,062,318.02
  5. Step 5: Solve for x
    x = 322,444,062,318.02/510,077.70
  6. Step 6: Final answer
    x = 632,146.95

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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.