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Finding the Fourth Proportional to 485,146.48, 726,915.20 and 295,031.76

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Solution

The fourth proportional to 485,146.48, 726,915.20 and 295,031.76 is: 442,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,146.48 : 726,915.20 = 295,031.76 : x
  2. Step 2: Convert to fraction form
    485,146.48/726,915.20 = 295,031.76/x
  3. Step 3: Cross multiply
    485,146.48x = 726,915.20 × 295,031.76
  4. Step 4: Simplify right side
    485,146.48x = 214,463,070,826.75
  5. Step 5: Solve for x
    x = 214,463,070,826.75/485,146.48
  6. Step 6: Final answer
    x = 442,058.39

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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.