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Finding the Fourth Proportional to 469,081.13, 647,401.51 and 297,015.15

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Solution

The fourth proportional to 469,081.13, 647,401.51 and 297,015.15 is: 409,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,081.13 : 647,401.51 = 297,015.15 : x
  2. Step 2: Convert to fraction form
    469,081.13/647,401.51 = 297,015.15/x
  3. Step 3: Cross multiply
    469,081.13x = 647,401.51 × 297,015.15
  4. Step 4: Simplify right side
    469,081.13x = 192,288,059,401.90
  5. Step 5: Solve for x
    x = 192,288,059,401.90/469,081.13
  6. Step 6: Final answer
    x = 409,924.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.