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Finding the Fourth Proportional to 309,627.50, 464,519.02 and 88,011.50

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Solution

The fourth proportional to 309,627.50, 464,519.02 and 88,011.50 is: 132,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,627.50 : 464,519.02 = 88,011.50 : x
  2. Step 2: Convert to fraction form
    309,627.50/464,519.02 = 88,011.50/x
  3. Step 3: Cross multiply
    309,627.50x = 464,519.02 × 88,011.50
  4. Step 4: Simplify right side
    309,627.50x = 40,883,015,728.73
  5. Step 5: Solve for x
    x = 40,883,015,728.73/309,627.50
  6. Step 6: Final answer
    x = 132,039.36

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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.