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Finding the Fourth Proportional to 443,510.20, 665,135.70 and 159,167.80

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Solution

The fourth proportional to 443,510.20, 665,135.70 and 159,167.80 is: 238,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,510.20 : 665,135.70 = 159,167.80 : x
  2. Step 2: Convert to fraction form
    443,510.20/665,135.70 = 159,167.80/x
  3. Step 3: Cross multiply
    443,510.20x = 665,135.70 × 159,167.80
  4. Step 4: Simplify right side
    443,510.20x = 105,868,186,070.46
  5. Step 5: Solve for x
    x = 105,868,186,070.46/443,510.20
  6. Step 6: Final answer
    x = 238,705.19

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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.