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Finding the Fourth Proportional to 687,188.86, 948,288.49 and 381,261.98

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Solution

The fourth proportional to 687,188.86, 948,288.49 and 381,261.98 is: 526,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,188.86 : 948,288.49 = 381,261.98 : x
  2. Step 2: Convert to fraction form
    687,188.86/948,288.49 = 381,261.98/x
  3. Step 3: Cross multiply
    687,188.86x = 948,288.49 × 381,261.98
  4. Step 4: Simplify right side
    687,188.86x = 361,546,347,308.61
  5. Step 5: Solve for x
    x = 361,546,347,308.61/687,188.86
  6. Step 6: Final answer
    x = 526,123.70

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1.5x scale

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.