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Finding the Fourth Proportional to 513,655.83, 708,831.41 and 284,207.13

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Solution

The fourth proportional to 513,655.83, 708,831.41 and 284,207.13 is: 392,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,655.83 : 708,831.41 = 284,207.13 : x
  2. Step 2: Convert to fraction form
    513,655.83/708,831.41 = 284,207.13/x
  3. Step 3: Cross multiply
    513,655.83x = 708,831.41 × 284,207.13
  4. Step 4: Simplify right side
    513,655.83x = 201,454,939,268.92
  5. Step 5: Solve for x
    x = 201,454,939,268.92/513,655.83
  6. Step 6: Final answer
    x = 392,198.29

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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.