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Finding the Fourth Proportional to 509,082.90, 763,620 and 205,472.40

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Solution

The fourth proportional to 509,082.90, 763,620 and 205,472.40 is: 308,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,082.90 : 763,620 = 205,472.40 : x
  2. Step 2: Convert to fraction form
    509,082.90/763,620 = 205,472.40/x
  3. Step 3: Cross multiply
    509,082.90x = 763,620 × 205,472.40
  4. Step 4: Simplify right side
    509,082.90x = 156,902,834,088
  5. Step 5: Solve for x
    x = 156,902,834,088/509,082.90
  6. Step 6: Final answer
    x = 308,206.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.