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Finding the Fourth Proportional to 317,470.28, 438,128.70 and 209,853.68

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Solution

The fourth proportional to 317,470.28, 438,128.70 and 209,853.68 is: 289,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,470.28 : 438,128.70 = 209,853.68 : x
  2. Step 2: Convert to fraction form
    317,470.28/438,128.70 = 209,853.68/x
  3. Step 3: Cross multiply
    317,470.28x = 438,128.70 × 209,853.68
  4. Step 4: Simplify right side
    317,470.28x = 91,942,920,008.62
  5. Step 5: Solve for x
    x = 91,942,920,008.62/317,470.28
  6. Step 6: Final answer
    x = 289,611.11

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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.