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Finding the Fourth Proportional to 317,876.24, 476,930.64 and 299,097.20

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Solution

The fourth proportional to 317,876.24, 476,930.64 and 299,097.20 is: 448,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,876.24 : 476,930.64 = 299,097.20 : x
  2. Step 2: Convert to fraction form
    317,876.24/476,930.64 = 299,097.20/x
  3. Step 3: Cross multiply
    317,876.24x = 476,930.64 × 299,097.20
  4. Step 4: Simplify right side
    317,876.24x = 142,648,619,018.21
  5. Step 5: Solve for x
    x = 142,648,619,018.21/317,876.24
  6. Step 6: Final answer
    x = 448,755.21

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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.