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Finding the Fourth Proportional to 553,646.13, 764,034.29 and 311,932.54

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Solution

The fourth proportional to 553,646.13, 764,034.29 and 311,932.54 is: 430,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,646.13 : 764,034.29 = 311,932.54 : x
  2. Step 2: Convert to fraction form
    553,646.13/764,034.29 = 311,932.54/x
  3. Step 3: Cross multiply
    553,646.13x = 764,034.29 × 311,932.54
  4. Step 4: Simplify right side
    553,646.13x = 238,327,156,726.80
  5. Step 5: Solve for x
    x = 238,327,156,726.80/553,646.13
  6. Step 6: Final answer
    x = 430,468.39

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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.