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Finding the Fourth Proportional to 509,949.30, 765,142.65 and 260,631.30

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Solution

The fourth proportional to 509,949.30, 765,142.65 and 260,631.30 is: 391,058.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,949.30 : 765,142.65 = 260,631.30 : x
  2. Step 2: Convert to fraction form
    509,949.30/765,142.65 = 260,631.30/x
  3. Step 3: Cross multiply
    509,949.30x = 765,142.65 × 260,631.30
  4. Step 4: Simplify right side
    509,949.30x = 199,420,123,554.95
  5. Step 5: Solve for x
    x = 199,420,123,554.95/509,949.30
  6. Step 6: Final answer
    x = 391,058.73

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1.5x scale

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.