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Finding the Fourth Proportional to 432,864.60, 648,989.70 and 166,522.20

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Solution

The fourth proportional to 432,864.60, 648,989.70 and 166,522.20 is: 249,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,864.60 : 648,989.70 = 166,522.20 : x
  2. Step 2: Convert to fraction form
    432,864.60/648,989.70 = 166,522.20/x
  3. Step 3: Cross multiply
    432,864.60x = 648,989.70 × 166,522.20
  4. Step 4: Simplify right side
    432,864.60x = 108,071,192,621.34
  5. Step 5: Solve for x
    x = 108,071,192,621.34/432,864.60
  6. Step 6: Final answer
    x = 249,665.12

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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.