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Finding the Fourth Proportional to 412,937.68, 618,884.32 and 235,545

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Solution

The fourth proportional to 412,937.68, 618,884.32 and 235,545 is: 353,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,937.68 : 618,884.32 = 235,545 : x
  2. Step 2: Convert to fraction form
    412,937.68/618,884.32 = 235,545/x
  3. Step 3: Cross multiply
    412,937.68x = 618,884.32 × 235,545
  4. Step 4: Simplify right side
    412,937.68x = 145,775,107,154.40
  5. Step 5: Solve for x
    x = 145,775,107,154.40/412,937.68
  6. Step 6: Final answer
    x = 353,019.63

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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.