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Finding the Fourth Proportional to 585,546.30, 878,319.45 and 142,314.30

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Solution

The fourth proportional to 585,546.30, 878,319.45 and 142,314.30 is: 213,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,546.30 : 878,319.45 = 142,314.30 : x
  2. Step 2: Convert to fraction form
    585,546.30/878,319.45 = 142,314.30/x
  3. Step 3: Cross multiply
    585,546.30x = 878,319.45 × 142,314.30
  4. Step 4: Simplify right side
    585,546.30x = 124,997,417,703.14
  5. Step 5: Solve for x
    x = 124,997,417,703.14/585,546.30
  6. Step 6: Final answer
    x = 213,471.45

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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.