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Finding the Fourth Proportional to 380,705.32, 571,062.03 and 156,008.08

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Solution

The fourth proportional to 380,705.32, 571,062.03 and 156,008.08 is: 234,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,705.32 : 571,062.03 = 156,008.08 : x
  2. Step 2: Convert to fraction form
    380,705.32/571,062.03 = 156,008.08/x
  3. Step 3: Cross multiply
    380,705.32x = 571,062.03 × 156,008.08
  4. Step 4: Simplify right side
    380,705.32x = 89,090,290,861.20
  5. Step 5: Solve for x
    x = 89,090,290,861.20/380,705.32
  6. Step 6: Final answer
    x = 234,013.78

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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.