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Finding the Fourth Proportional to 509,172.87, 702,658.85 and 279,744.95

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Solution

The fourth proportional to 509,172.87, 702,658.85 and 279,744.95 is: 386,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,172.87 : 702,658.85 = 279,744.95 : x
  2. Step 2: Convert to fraction form
    509,172.87/702,658.85 = 279,744.95/x
  3. Step 3: Cross multiply
    509,172.87x = 702,658.85 × 279,744.95
  4. Step 4: Simplify right side
    509,172.87x = 196,565,264,860.31
  5. Step 5: Solve for x
    x = 196,565,264,860.31/509,172.87
  6. Step 6: Final answer
    x = 386,048.19

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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.