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Finding the Fourth Proportional to 509,909.92, 703,680.24 and 277,338.94

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Solution

The fourth proportional to 509,909.92, 703,680.24 and 277,338.94 is: 382,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,909.92 : 703,680.24 = 277,338.94 : x
  2. Step 2: Convert to fraction form
    509,909.92/703,680.24 = 277,338.94/x
  3. Step 3: Cross multiply
    509,909.92x = 703,680.24 × 277,338.94
  4. Step 4: Simplify right side
    509,909.92x = 195,157,931,860.55
  5. Step 5: Solve for x
    x = 195,157,931,860.55/509,909.92
  6. Step 6: Final answer
    x = 382,730.21

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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.