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Finding the Fourth Proportional to 472,668.20, 709,002.30 and 157,084.10

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Solution

The fourth proportional to 472,668.20, 709,002.30 and 157,084.10 is: 235,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,668.20 : 709,002.30 = 157,084.10 : x
  2. Step 2: Convert to fraction form
    472,668.20/709,002.30 = 157,084.10/x
  3. Step 3: Cross multiply
    472,668.20x = 709,002.30 × 157,084.10
  4. Step 4: Simplify right side
    472,668.20x = 111,372,988,193.43
  5. Step 5: Solve for x
    x = 111,372,988,193.43/472,668.20
  6. Step 6: Final answer
    x = 235,626.15

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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.