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Finding the Fourth Proportional to 438,300, 656,951.72 and 185,422.86

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Solution

The fourth proportional to 438,300, 656,951.72 and 185,422.86 is: 277,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,300 : 656,951.72 = 185,422.86 : x
  2. Step 2: Convert to fraction form
    438,300/656,951.72 = 185,422.86/x
  3. Step 3: Cross multiply
    438,300x = 656,951.72 × 185,422.86
  4. Step 4: Simplify right side
    438,300x = 121,813,865,877.21
  5. Step 5: Solve for x
    x = 121,813,865,877.21/438,300
  6. Step 6: Final answer
    x = 277,923.49

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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.