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Finding the Fourth Proportional to 255,711.60, 383,423.40 and 97,945.20

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Solution

The fourth proportional to 255,711.60, 383,423.40 and 97,945.20 is: 146,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,711.60 : 383,423.40 = 97,945.20 : x
  2. Step 2: Convert to fraction form
    255,711.60/383,423.40 = 97,945.20/x
  3. Step 3: Cross multiply
    255,711.60x = 383,423.40 × 97,945.20
  4. Step 4: Simplify right side
    255,711.60x = 37,554,481,597.68
  5. Step 5: Solve for x
    x = 37,554,481,597.68/255,711.60
  6. Step 6: Final answer
    x = 146,862.64

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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.