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Finding the Fourth Proportional to 509,766.52, 703,495.84 and 280,341.24

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Solution

The fourth proportional to 509,766.52, 703,495.84 and 280,341.24 is: 386,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,766.52 : 703,495.84 = 280,341.24 : x
  2. Step 2: Convert to fraction form
    509,766.52/703,495.84 = 280,341.24/x
  3. Step 3: Cross multiply
    509,766.52x = 703,495.84 × 280,341.24
  4. Step 4: Simplify right side
    509,766.52x = 197,218,896,120.44
  5. Step 5: Solve for x
    x = 197,218,896,120.44/509,766.52
  6. Step 6: Final answer
    x = 386,880.83

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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.