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Finding the Fourth Proportional to 509,810.85, 703,557.03 and 280,385.88

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Solution

The fourth proportional to 509,810.85, 703,557.03 and 280,385.88 is: 386,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,810.85 : 703,557.03 = 280,385.88 : x
  2. Step 2: Convert to fraction form
    509,810.85/703,557.03 = 280,385.88/x
  3. Step 3: Cross multiply
    509,810.85x = 703,557.03 × 280,385.88
  4. Step 4: Simplify right side
    509,810.85x = 197,267,456,986.74
  5. Step 5: Solve for x
    x = 197,267,456,986.74/509,810.85
  6. Step 6: Final answer
    x = 386,942.45

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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.