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Finding the Fourth Proportional to 287,434.78, 431,149.84 and 74,184.46

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Solution

The fourth proportional to 287,434.78, 431,149.84 and 74,184.46 is: 111,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,434.78 : 431,149.84 = 74,184.46 : x
  2. Step 2: Convert to fraction form
    287,434.78/431,149.84 = 74,184.46/x
  3. Step 3: Cross multiply
    287,434.78x = 431,149.84 × 74,184.46
  4. Step 4: Simplify right side
    287,434.78x = 31,984,616,796.15
  5. Step 5: Solve for x
    x = 31,984,616,796.15/287,434.78
  6. Step 6: Final answer
    x = 111,276.09

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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.