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Finding the Fourth Proportional to 242,862.40, 363,904.80 and 153,956.80

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Solution

The fourth proportional to 242,862.40, 363,904.80 and 153,956.80 is: 230,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,862.40 : 363,904.80 = 153,956.80 : x
  2. Step 2: Convert to fraction form
    242,862.40/363,904.80 = 153,956.80/x
  3. Step 3: Cross multiply
    242,862.40x = 363,904.80 × 153,956.80
  4. Step 4: Simplify right side
    242,862.40x = 56,025,618,512.64
  5. Step 5: Solve for x
    x = 56,025,618,512.64/242,862.40
  6. Step 6: Final answer
    x = 230,688.73

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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.