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Finding the Fourth Proportional to 390,971.76, 586,625.76 and 151,253.76

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Solution

The fourth proportional to 390,971.76, 586,625.76 and 151,253.76 is: 226,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,971.76 : 586,625.76 = 151,253.76 : x
  2. Step 2: Convert to fraction form
    390,971.76/586,625.76 = 151,253.76/x
  3. Step 3: Cross multiply
    390,971.76x = 586,625.76 × 151,253.76
  4. Step 4: Simplify right side
    390,971.76x = 88,729,351,912.86
  5. Step 5: Solve for x
    x = 88,729,351,912.86/390,971.76
  6. Step 6: Final answer
    x = 226,945.68

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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.