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Finding the Fourth Proportional to 317,920.78, 438,730.32 and 174,680.47

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Solution

The fourth proportional to 317,920.78, 438,730.32 and 174,680.47 is: 241,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,920.78 : 438,730.32 = 174,680.47 : x
  2. Step 2: Convert to fraction form
    317,920.78/438,730.32 = 174,680.47/x
  3. Step 3: Cross multiply
    317,920.78x = 438,730.32 × 174,680.47
  4. Step 4: Simplify right side
    317,920.78x = 76,637,618,500.85
  5. Step 5: Solve for x
    x = 76,637,618,500.85/317,920.78
  6. Step 6: Final answer
    x = 241,058.85

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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.