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Finding the Fourth Proportional to 458,203.18, 686,410.76 and 299,951.86

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Solution

The fourth proportional to 458,203.18, 686,410.76 and 299,951.86 is: 449,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,203.18 : 686,410.76 = 299,951.86 : x
  2. Step 2: Convert to fraction form
    458,203.18/686,410.76 = 299,951.86/x
  3. Step 3: Cross multiply
    458,203.18x = 686,410.76 × 299,951.86
  4. Step 4: Simplify right side
    458,203.18x = 205,890,182,819.66
  5. Step 5: Solve for x
    x = 205,890,182,819.66/458,203.18
  6. Step 6: Final answer
    x = 449,342.55

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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.