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Finding the Fourth Proportional to 311,483.88, 467,334.24 and 98,284.71

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Solution

The fourth proportional to 311,483.88, 467,334.24 and 98,284.71 is: 147,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,483.88 : 467,334.24 = 98,284.71 : x
  2. Step 2: Convert to fraction form
    311,483.88/467,334.24 = 98,284.71/x
  3. Step 3: Cross multiply
    311,483.88x = 467,334.24 × 98,284.71
  4. Step 4: Simplify right side
    311,483.88x = 45,931,810,251.47
  5. Step 5: Solve for x
    x = 45,931,810,251.47/311,483.88
  6. Step 6: Final answer
    x = 147,461.28

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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.