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Finding the Fourth Proportional to 309,614, 464,426.76 and 88,003.76

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Solution

The fourth proportional to 309,614, 464,426.76 and 88,003.76 is: 132,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,614 : 464,426.76 = 88,003.76 : x
  2. Step 2: Convert to fraction form
    309,614/464,426.76 = 88,003.76/x
  3. Step 3: Cross multiply
    309,614x = 464,426.76 × 88,003.76
  4. Step 4: Simplify right side
    309,614x = 40,871,301,124.62
  5. Step 5: Solve for x
    x = 40,871,301,124.62/309,614
  6. Step 6: Final answer
    x = 132,007.28

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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.