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Finding the Fourth Proportional to 521,414, 719,551.36 and 282,950

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Solution

The fourth proportional to 521,414, 719,551.36 and 282,950 is: 390,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,414 : 719,551.36 = 282,950 : x
  2. Step 2: Convert to fraction form
    521,414/719,551.36 = 282,950/x
  3. Step 3: Cross multiply
    521,414x = 719,551.36 × 282,950
  4. Step 4: Simplify right side
    521,414x = 203,597,057,312
  5. Step 5: Solve for x
    x = 203,597,057,312/521,414
  6. Step 6: Final answer
    x = 390,471.02

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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.