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Finding the Fourth Proportional to 462,142, 693,213.12 and 166,654

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Solution

The fourth proportional to 462,142, 693,213.12 and 166,654 is: 249,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,142 : 693,213.12 = 166,654 : x
  2. Step 2: Convert to fraction form
    462,142/693,213.12 = 166,654/x
  3. Step 3: Cross multiply
    462,142x = 693,213.12 × 166,654
  4. Step 4: Simplify right side
    462,142x = 115,526,739,300.48
  5. Step 5: Solve for x
    x = 115,526,739,300.48/462,142
  6. Step 6: Final answer
    x = 249,981.04

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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.