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Finding the Fourth Proportional to 399,552.50, 599,416.32 and 150,234.50

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Solution

The fourth proportional to 399,552.50, 599,416.32 and 150,234.50 is: 225,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,552.50 : 599,416.32 = 150,234.50 : x
  2. Step 2: Convert to fraction form
    399,552.50/599,416.32 = 150,234.50/x
  3. Step 3: Cross multiply
    399,552.50x = 599,416.32 × 150,234.50
  4. Step 4: Simplify right side
    399,552.50x = 90,053,011,127.04
  5. Step 5: Solve for x
    x = 90,053,011,127.04/399,552.50
  6. Step 6: Final answer
    x = 225,384.68

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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.