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Finding the Fourth Proportional to 390,790.80, 586,186.20 and 166,076.55

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Solution

The fourth proportional to 390,790.80, 586,186.20 and 166,076.55 is: 249,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,790.80 : 586,186.20 = 166,076.55 : x
  2. Step 2: Convert to fraction form
    390,790.80/586,186.20 = 166,076.55/x
  3. Step 3: Cross multiply
    390,790.80x = 586,186.20 × 166,076.55
  4. Step 4: Simplify right side
    390,790.80x = 97,351,781,753.61
  5. Step 5: Solve for x
    x = 97,351,781,753.61/390,790.80
  6. Step 6: Final answer
    x = 249,114.83

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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.