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Finding the Fourth Proportional to 312,470.20, 468,729.59 and 102,129.40

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Solution

The fourth proportional to 312,470.20, 468,729.59 and 102,129.40 is: 153,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.20 : 468,729.59 = 102,129.40 : x
  2. Step 2: Convert to fraction form
    312,470.20/468,729.59 = 102,129.40/x
  3. Step 3: Cross multiply
    312,470.20x = 468,729.59 × 102,129.40
  4. Step 4: Simplify right side
    312,470.20x = 47,871,071,788.95
  5. Step 5: Solve for x
    x = 47,871,071,788.95/312,470.20
  6. Step 6: Final answer
    x = 153,202.04

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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.