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Finding the Fourth Proportional to 518,005.70, 714,869.92 and 288,562.71

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Solution

The fourth proportional to 518,005.70, 714,869.92 and 288,562.71 is: 398,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,005.70 : 714,869.92 = 288,562.71 : x
  2. Step 2: Convert to fraction form
    518,005.70/714,869.92 = 288,562.71/x
  3. Step 3: Cross multiply
    518,005.70x = 714,869.92 × 288,562.71
  4. Step 4: Simplify right side
    518,005.70x = 206,284,799,718.27
  5. Step 5: Solve for x
    x = 206,284,799,718.27/518,005.70
  6. Step 6: Final answer
    x = 398,228.82

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1.5x scale

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.