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Finding the Fourth Proportional to 317,749, 476,498.88 and 115,297

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Solution

The fourth proportional to 317,749, 476,498.88 and 115,297 is: 172,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,749 : 476,498.88 = 115,297 : x
  2. Step 2: Convert to fraction form
    317,749/476,498.88 = 115,297/x
  3. Step 3: Cross multiply
    317,749x = 476,498.88 × 115,297
  4. Step 4: Simplify right side
    317,749x = 54,938,891,367.36
  5. Step 5: Solve for x
    x = 54,938,891,367.36/317,749
  6. Step 6: Final answer
    x = 172,900.28

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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.