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Finding the Fourth Proportional to 518,506.50, 715,539.24 and 280,042.50

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Solution

The fourth proportional to 518,506.50, 715,539.24 and 280,042.50 is: 386,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,506.50 : 715,539.24 = 280,042.50 : x
  2. Step 2: Convert to fraction form
    518,506.50/715,539.24 = 280,042.50/x
  3. Step 3: Cross multiply
    518,506.50x = 715,539.24 × 280,042.50
  4. Step 4: Simplify right side
    518,506.50x = 200,381,397,617.70
  5. Step 5: Solve for x
    x = 200,381,397,617.70/518,506.50
  6. Step 6: Final answer
    x = 386,458.80

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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.