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Finding the Fourth Proportional to 719,253.96, 1,077,978.79 and 381,460.87

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Solution

The fourth proportional to 719,253.96, 1,077,978.79 and 381,460.87 is: 571,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,253.96 : 1,077,978.79 = 381,460.87 : x
  2. Step 2: Convert to fraction form
    719,253.96/1,077,978.79 = 381,460.87/x
  3. Step 3: Cross multiply
    719,253.96x = 1,077,978.79 × 381,460.87
  4. Step 4: Simplify right side
    719,253.96x = 411,206,725,167.64
  5. Step 5: Solve for x
    x = 411,206,725,167.64/719,253.96
  6. Step 6: Final answer
    x = 571,712.85

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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.