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Finding the Fourth Proportional to 402,916.32, 555,990.24 and 233,160.96

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Solution

The fourth proportional to 402,916.32, 555,990.24 and 233,160.96 is: 321,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,916.32 : 555,990.24 = 233,160.96 : x
  2. Step 2: Convert to fraction form
    402,916.32/555,990.24 = 233,160.96/x
  3. Step 3: Cross multiply
    402,916.32x = 555,990.24 × 233,160.96
  4. Step 4: Simplify right side
    402,916.32x = 129,635,218,109.03
  5. Step 5: Solve for x
    x = 129,635,218,109.03/402,916.32
  6. Step 6: Final answer
    x = 321,742.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.