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Finding the Fourth Proportional to 287,680.72, 428,124.40 and 278,101.98

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Solution

The fourth proportional to 287,680.72, 428,124.40 and 278,101.98 is: 413,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,680.72 : 428,124.40 = 278,101.98 : x
  2. Step 2: Convert to fraction form
    287,680.72/428,124.40 = 278,101.98/x
  3. Step 3: Cross multiply
    287,680.72x = 428,124.40 × 278,101.98
  4. Step 4: Simplify right side
    287,680.72x = 119,062,243,326.31
  5. Step 5: Solve for x
    x = 119,062,243,326.31/287,680.72
  6. Step 6: Final answer
    x = 413,869.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.