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Finding the Fourth Proportional to 310,575.40, 465,747.90 and 123,548.20

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Solution

The fourth proportional to 310,575.40, 465,747.90 and 123,548.20 is: 185,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575.40 : 465,747.90 = 123,548.20 : x
  2. Step 2: Convert to fraction form
    310,575.40/465,747.90 = 123,548.20/x
  3. Step 3: Cross multiply
    310,575.40x = 465,747.90 × 123,548.20
  4. Step 4: Simplify right side
    310,575.40x = 57,542,314,698.78
  5. Step 5: Solve for x
    x = 57,542,314,698.78/310,575.40
  6. Step 6: Final answer
    x = 185,276.47

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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.