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Finding the Fourth Proportional to 287,894.46, 431,829.15 and 98,371.74

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Solution

The fourth proportional to 287,894.46, 431,829.15 and 98,371.74 is: 147,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.46 : 431,829.15 = 98,371.74 : x
  2. Step 2: Convert to fraction form
    287,894.46/431,829.15 = 98,371.74/x
  3. Step 3: Cross multiply
    287,894.46x = 431,829.15 × 98,371.74
  4. Step 4: Simplify right side
    287,894.46x = 42,479,784,868.22
  5. Step 5: Solve for x
    x = 42,479,784,868.22/287,894.46
  6. Step 6: Final answer
    x = 147,553.33

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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.