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Finding the Fourth Proportional to 253,214.38, 379,710.78 and 120,132.64

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Solution

The fourth proportional to 253,214.38, 379,710.78 and 120,132.64 is: 180,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,214.38 : 379,710.78 = 120,132.64 : x
  2. Step 2: Convert to fraction form
    253,214.38/379,710.78 = 120,132.64/x
  3. Step 3: Cross multiply
    253,214.38x = 379,710.78 × 120,132.64
  4. Step 4: Simplify right side
    253,214.38x = 45,615,658,437.86
  5. Step 5: Solve for x
    x = 45,615,658,437.86/253,214.38
  6. Step 6: Final answer
    x = 180,146.40

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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.