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Finding the Fourth Proportional to 687,805.46, 949,201.18 and 381,881.86

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Solution

The fourth proportional to 687,805.46, 949,201.18 and 381,881.86 is: 527,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,805.46 : 949,201.18 = 381,881.86 : x
  2. Step 2: Convert to fraction form
    687,805.46/949,201.18 = 381,881.86/x
  3. Step 3: Cross multiply
    687,805.46x = 949,201.18 × 381,881.86
  4. Step 4: Simplify right side
    687,805.46x = 362,482,707,386.59
  5. Step 5: Solve for x
    x = 362,482,707,386.59/687,805.46
  6. Step 6: Final answer
    x = 527,013.42

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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.