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Finding the Fourth Proportional to 287,463.52, 431,258.40 and 85,043.79

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Solution

The fourth proportional to 287,463.52, 431,258.40 and 85,043.79 is: 127,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,463.52 : 431,258.40 = 85,043.79 : x
  2. Step 2: Convert to fraction form
    287,463.52/431,258.40 = 85,043.79/x
  3. Step 3: Cross multiply
    287,463.52x = 431,258.40 × 85,043.79
  4. Step 4: Simplify right side
    287,463.52x = 36,675,848,805.34
  5. Step 5: Solve for x
    x = 36,675,848,805.34/287,463.52
  6. Step 6: Final answer
    x = 127,584.36

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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.