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Finding the Fourth Proportional to 390,678.29, 586,040.12 and 150,793.55

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Solution

The fourth proportional to 390,678.29, 586,040.12 and 150,793.55 is: 226,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,678.29 : 586,040.12 = 150,793.55 : x
  2. Step 2: Convert to fraction form
    390,678.29/586,040.12 = 150,793.55/x
  3. Step 3: Cross multiply
    390,678.29x = 586,040.12 × 150,793.55
  4. Step 4: Simplify right side
    390,678.29x = 88,371,070,137.23
  5. Step 5: Solve for x
    x = 88,371,070,137.23/390,678.29
  6. Step 6: Final answer
    x = 226,199.08

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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.