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Finding the Fourth Proportional to 317,641.14, 438,353.91 and 179,809.43

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Solution

The fourth proportional to 317,641.14, 438,353.91 and 179,809.43 is: 248,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,641.14 : 438,353.91 = 179,809.43 : x
  2. Step 2: Convert to fraction form
    317,641.14/438,353.91 = 179,809.43/x
  3. Step 3: Cross multiply
    317,641.14x = 438,353.91 × 179,809.43
  4. Step 4: Simplify right side
    317,641.14x = 78,820,164,503.60
  5. Step 5: Solve for x
    x = 78,820,164,503.60/317,641.14
  6. Step 6: Final answer
    x = 248,142.18

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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.