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Finding the Fourth Proportional to 342,285.20, 513,418.20 and 155,296.40

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Solution

The fourth proportional to 342,285.20, 513,418.20 and 155,296.40 is: 232,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,285.20 : 513,418.20 = 155,296.40 : x
  2. Step 2: Convert to fraction form
    342,285.20/513,418.20 = 155,296.40/x
  3. Step 3: Cross multiply
    342,285.20x = 513,418.20 × 155,296.40
  4. Step 4: Simplify right side
    342,285.20x = 79,731,998,154.48
  5. Step 5: Solve for x
    x = 79,731,998,154.48/342,285.20
  6. Step 6: Final answer
    x = 232,940.24

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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.