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Finding the Fourth Proportional to 713,057.29, 984,026.81 and 390,760.47

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Solution

The fourth proportional to 713,057.29, 984,026.81 and 390,760.47 is: 539,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,057.29 : 984,026.81 = 390,760.47 : x
  2. Step 2: Convert to fraction form
    713,057.29/984,026.81 = 390,760.47/x
  3. Step 3: Cross multiply
    713,057.29x = 984,026.81 × 390,760.47
  4. Step 4: Simplify right side
    713,057.29x = 384,518,778,768.20
  5. Step 5: Solve for x
    x = 384,518,778,768.20/713,057.29
  6. Step 6: Final answer
    x = 539,253.70

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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.