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Finding the Fourth Proportional to 542,115.32, 813,212.91 and 142,753.32

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Solution

The fourth proportional to 542,115.32, 813,212.91 and 142,753.32 is: 214,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,115.32 : 813,212.91 = 142,753.32 : x
  2. Step 2: Convert to fraction form
    542,115.32/813,212.91 = 142,753.32/x
  3. Step 3: Cross multiply
    542,115.32x = 813,212.91 × 142,753.32
  4. Step 4: Simplify right side
    542,115.32x = 116,088,842,769.36
  5. Step 5: Solve for x
    x = 116,088,842,769.36/542,115.32
  6. Step 6: Final answer
    x = 214,140.50

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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.