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Finding the Fourth Proportional to 315,548.52, 435,456.36 and 202,371

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Solution

The fourth proportional to 315,548.52, 435,456.36 and 202,371 is: 279,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,548.52 : 435,456.36 = 202,371 : x
  2. Step 2: Convert to fraction form
    315,548.52/435,456.36 = 202,371/x
  3. Step 3: Cross multiply
    315,548.52x = 435,456.36 × 202,371
  4. Step 4: Simplify right side
    315,548.52x = 88,123,739,029.56
  5. Step 5: Solve for x
    x = 88,123,739,029.56/315,548.52
  6. Step 6: Final answer
    x = 279,271.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.