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Finding the Fourth Proportional to 287,876.54, 431,864.02 and 98,326.50

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Solution

The fourth proportional to 287,876.54, 431,864.02 and 98,326.50 is: 147,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,876.54 : 431,864.02 = 98,326.50 : x
  2. Step 2: Convert to fraction form
    287,876.54/431,864.02 = 98,326.50/x
  3. Step 3: Cross multiply
    287,876.54x = 431,864.02 × 98,326.50
  4. Step 4: Simplify right side
    287,876.54x = 42,463,677,562.53
  5. Step 5: Solve for x
    x = 42,463,677,562.53/287,876.54
  6. Step 6: Final answer
    x = 147,506.56

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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.