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Finding the Fourth Proportional to 312,649.08, 468,978.23 and 99,449.90

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Solution

The fourth proportional to 312,649.08, 468,978.23 and 99,449.90 is: 149,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,649.08 : 468,978.23 = 99,449.90 : x
  2. Step 2: Convert to fraction form
    312,649.08/468,978.23 = 99,449.90/x
  3. Step 3: Cross multiply
    312,649.08x = 468,978.23 × 99,449.90
  4. Step 4: Simplify right side
    312,649.08x = 46,639,835,809.62
  5. Step 5: Solve for x
    x = 46,639,835,809.62/312,649.08
  6. Step 6: Final answer
    x = 149,176.31

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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.