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Finding the Fourth Proportional to 255,941.40, 383,912.10 and 242,117.40

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Solution

The fourth proportional to 255,941.40, 383,912.10 and 242,117.40 is: 363,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,941.40 : 383,912.10 = 242,117.40 : x
  2. Step 2: Convert to fraction form
    255,941.40/383,912.10 = 242,117.40/x
  3. Step 3: Cross multiply
    255,941.40x = 383,912.10 × 242,117.40
  4. Step 4: Simplify right side
    255,941.40x = 92,951,799,480.54
  5. Step 5: Solve for x
    x = 92,951,799,480.54/255,941.40
  6. Step 6: Final answer
    x = 363,176.10

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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.