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Finding the Fourth Proportional to 518,734.13, 715,853.09 and 280,270.13

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Solution

The fourth proportional to 518,734.13, 715,853.09 and 280,270.13 is: 386,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,734.13 : 715,853.09 = 280,270.13 : x
  2. Step 2: Convert to fraction form
    518,734.13/715,853.09 = 280,270.13/x
  3. Step 3: Cross multiply
    518,734.13x = 715,853.09 × 280,270.13
  4. Step 4: Simplify right side
    518,734.13x = 200,632,235,716.61
  5. Step 5: Solve for x
    x = 200,632,235,716.61/518,734.13
  6. Step 6: Final answer
    x = 386,772.77

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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.