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Finding the Fourth Proportional to 687,473.87, 948,699.66 and 381,532.46

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Solution

The fourth proportional to 687,473.87, 948,699.66 and 381,532.46 is: 526,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,473.87 : 948,699.66 = 381,532.46 : x
  2. Step 2: Convert to fraction form
    687,473.87/948,699.66 = 381,532.46/x
  3. Step 3: Cross multiply
    687,473.87x = 948,699.66 × 381,532.46
  4. Step 4: Simplify right side
    687,473.87x = 361,959,710,337.47
  5. Step 5: Solve for x
    x = 361,959,710,337.47/687,473.87
  6. Step 6: Final answer
    x = 526,506.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.