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Finding the Fourth Proportional to 393,301.20, 589,951.80 and 97,813.20

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Solution

The fourth proportional to 393,301.20, 589,951.80 and 97,813.20 is: 146,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,301.20 : 589,951.80 = 97,813.20 : x
  2. Step 2: Convert to fraction form
    393,301.20/589,951.80 = 97,813.20/x
  3. Step 3: Cross multiply
    393,301.20x = 589,951.80 × 97,813.20
  4. Step 4: Simplify right side
    393,301.20x = 57,705,073,403.76
  5. Step 5: Solve for x
    x = 57,705,073,403.76/393,301.20
  6. Step 6: Final answer
    x = 146,719.80

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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.