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Finding the Fourth Proportional to 357,321.60, 535,204.80 and 231,350.40

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Solution

The fourth proportional to 357,321.60, 535,204.80 and 231,350.40 is: 346,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,321.60 : 535,204.80 = 231,350.40 : x
  2. Step 2: Convert to fraction form
    357,321.60/535,204.80 = 231,350.40/x
  3. Step 3: Cross multiply
    357,321.60x = 535,204.80 × 231,350.40
  4. Step 4: Simplify right side
    357,321.60x = 123,819,844,561.92
  5. Step 5: Solve for x
    x = 123,819,844,561.92/357,321.60
  6. Step 6: Final answer
    x = 346,522.14

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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.