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Finding the Fourth Proportional to 687,264.96, 948,425.34 and 400,729.71

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Solution

The fourth proportional to 687,264.96, 948,425.34 and 400,729.71 is: 553,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,264.96 : 948,425.34 = 400,729.71 : x
  2. Step 2: Convert to fraction form
    687,264.96/948,425.34 = 400,729.71/x
  3. Step 3: Cross multiply
    687,264.96x = 948,425.34 × 400,729.71
  4. Step 4: Simplify right side
    687,264.96x = 380,062,211,454.85
  5. Step 5: Solve for x
    x = 380,062,211,454.85/687,264.96
  6. Step 6: Final answer
    x = 553,006.82

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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.