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Finding the Fourth Proportional to 313,995.24, 471,009.12 and 103,649.64

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Solution

The fourth proportional to 313,995.24, 471,009.12 and 103,649.64 is: 155,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,995.24 : 471,009.12 = 103,649.64 : x
  2. Step 2: Convert to fraction form
    313,995.24/471,009.12 = 103,649.64/x
  3. Step 3: Cross multiply
    313,995.24x = 471,009.12 × 103,649.64
  4. Step 4: Simplify right side
    313,995.24x = 48,819,925,724.72
  5. Step 5: Solve for x
    x = 48,819,925,724.72/313,995.24
  6. Step 6: Final answer
    x = 155,479.83

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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.