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Finding the Fourth Proportional to 309,532.61, 464,203.11 and 149,509.14

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Solution

The fourth proportional to 309,532.61, 464,203.11 and 149,509.14 is: 224,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,532.61 : 464,203.11 = 149,509.14 : x
  2. Step 2: Convert to fraction form
    309,532.61/464,203.11 = 149,509.14/x
  3. Step 3: Cross multiply
    309,532.61x = 464,203.11 × 149,509.14
  4. Step 4: Simplify right side
    309,532.61x = 69,402,607,761.43
  5. Step 5: Solve for x
    x = 69,402,607,761.43/309,532.61
  6. Step 6: Final answer
    x = 224,217.44

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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.