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Finding the Fourth Proportional to 713,792.42, 985,096.74 and 391,565.32

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Solution

The fourth proportional to 713,792.42, 985,096.74 and 391,565.32 is: 540,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,792.42 : 985,096.74 = 391,565.32 : x
  2. Step 2: Convert to fraction form
    713,792.42/985,096.74 = 391,565.32/x
  3. Step 3: Cross multiply
    713,792.42x = 985,096.74 × 391,565.32
  4. Step 4: Simplify right side
    713,792.42x = 385,729,720,229.06
  5. Step 5: Solve for x
    x = 385,729,720,229.06/713,792.42
  6. Step 6: Final answer
    x = 540,394.81

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Why These Related Problems?

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