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Finding the Fourth Proportional to 713,143.92, 984,146.31 and 390,847.08

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Solution

The fourth proportional to 713,143.92, 984,146.31 and 390,847.08 is: 539,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,143.92 : 984,146.31 = 390,847.08 : x
  2. Step 2: Convert to fraction form
    713,143.92/984,146.31 = 390,847.08/x
  3. Step 3: Cross multiply
    713,143.92x = 984,146.31 × 390,847.08
  4. Step 4: Simplify right side
    713,143.92x = 384,650,711,556.28
  5. Step 5: Solve for x
    x = 384,650,711,556.28/713,143.92
  6. Step 6: Final answer
    x = 539,373.19

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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.