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Finding the Fourth Proportional to 426,428.70, 588,480.78 and 235,454.16

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Solution

The fourth proportional to 426,428.70, 588,480.78 and 235,454.16 is: 324,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,428.70 : 588,480.78 = 235,454.16 : x
  2. Step 2: Convert to fraction form
    426,428.70/588,480.78 = 235,454.16/x
  3. Step 3: Cross multiply
    426,428.70x = 588,480.78 × 235,454.16
  4. Step 4: Simplify right side
    426,428.70x = 138,560,247,731.05
  5. Step 5: Solve for x
    x = 138,560,247,731.05/426,428.70
  6. Step 6: Final answer
    x = 324,931.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.