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Finding the Fourth Proportional to 325,387.60, 488,036.40 and 100,902.40

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Solution

The fourth proportional to 325,387.60, 488,036.40 and 100,902.40 is: 151,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,387.60 : 488,036.40 = 100,902.40 : x
  2. Step 2: Convert to fraction form
    325,387.60/488,036.40 = 100,902.40/x
  3. Step 3: Cross multiply
    325,387.60x = 488,036.40 × 100,902.40
  4. Step 4: Simplify right side
    325,387.60x = 49,244,044,047.36
  5. Step 5: Solve for x
    x = 49,244,044,047.36/325,387.60
  6. Step 6: Final answer
    x = 151,339.65

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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.