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Finding the Fourth Proportional to 457,897.20, 686,845.80 and 120,937.20

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Solution

The fourth proportional to 457,897.20, 686,845.80 and 120,937.20 is: 181,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,897.20 : 686,845.80 = 120,937.20 : x
  2. Step 2: Convert to fraction form
    457,897.20/686,845.80 = 120,937.20/x
  3. Step 3: Cross multiply
    457,897.20x = 686,845.80 × 120,937.20
  4. Step 4: Simplify right side
    457,897.20x = 83,065,207,883.76
  5. Step 5: Solve for x
    x = 83,065,207,883.76/457,897.20
  6. Step 6: Final answer
    x = 181,405.80

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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.