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Finding the Fourth Proportional to 478,498.60, 717,749 and 449,269.48

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Solution

The fourth proportional to 478,498.60, 717,749 and 449,269.48 is: 673,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,498.60 : 717,749 = 449,269.48 : x
  2. Step 2: Convert to fraction form
    478,498.60/717,749 = 449,269.48/x
  3. Step 3: Cross multiply
    478,498.60x = 717,749 × 449,269.48
  4. Step 4: Simplify right side
    478,498.60x = 322,462,720,000.52
  5. Step 5: Solve for x
    x = 322,462,720,000.52/478,498.60
  6. Step 6: Final answer
    x = 673,905.25

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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.