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Finding the Fourth Proportional to 242,800.88, 363,977 and 153,785.20

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Solution

The fourth proportional to 242,800.88, 363,977 and 153,785.20 is: 230,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,800.88 : 363,977 = 153,785.20 : x
  2. Step 2: Convert to fraction form
    242,800.88/363,977 = 153,785.20/x
  3. Step 3: Cross multiply
    242,800.88x = 363,977 × 153,785.20
  4. Step 4: Simplify right side
    242,800.88x = 55,974,275,740.40
  5. Step 5: Solve for x
    x = 55,974,275,740.40/242,800.88
  6. Step 6: Final answer
    x = 230,535.72

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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.