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Finding the Fourth Proportional to 342,548.88, 513,158.36 and 252,428

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Solution

The fourth proportional to 342,548.88, 513,158.36 and 252,428 is: 378,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,548.88 : 513,158.36 = 252,428 : x
  2. Step 2: Convert to fraction form
    342,548.88/513,158.36 = 252,428/x
  3. Step 3: Cross multiply
    342,548.88x = 513,158.36 × 252,428
  4. Step 4: Simplify right side
    342,548.88x = 129,535,538,498.08
  5. Step 5: Solve for x
    x = 129,535,538,498.08/342,548.88
  6. Step 6: Final answer
    x = 378,151.98

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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.