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Finding the Fourth Proportional to 509,613.50, 703,248.71 and 280,169.13

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Solution

The fourth proportional to 509,613.50, 703,248.71 and 280,169.13 is: 386,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,613.50 : 703,248.71 = 280,169.13 : x
  2. Step 2: Convert to fraction form
    509,613.50/703,248.71 = 280,169.13/x
  3. Step 3: Cross multiply
    509,613.50x = 703,248.71 × 280,169.13
  4. Step 4: Simplify right side
    509,613.50x = 197,028,579,254.32
  5. Step 5: Solve for x
    x = 197,028,579,254.32/509,613.50
  6. Step 6: Final answer
    x = 386,623.55

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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.