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Finding the Fourth Proportional to 443,397.02, 665,193.95 and 127,829.30

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Solution

The fourth proportional to 443,397.02, 665,193.95 and 127,829.30 is: 191,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,397.02 : 665,193.95 = 127,829.30 : x
  2. Step 2: Convert to fraction form
    443,397.02/665,193.95 = 127,829.30/x
  3. Step 3: Cross multiply
    443,397.02x = 665,193.95 × 127,829.30
  4. Step 4: Simplify right side
    443,397.02x = 85,031,276,992.74
  5. Step 5: Solve for x
    x = 85,031,276,992.74/443,397.02
  6. Step 6: Final answer
    x = 191,772.32

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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.