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Finding the Fourth Proportional to 287,934.16, 431,716.70 and 119,570.70

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Solution

The fourth proportional to 287,934.16, 431,716.70 and 119,570.70 is: 179,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,934.16 : 431,716.70 = 119,570.70 : x
  2. Step 2: Convert to fraction form
    287,934.16/431,716.70 = 119,570.70/x
  3. Step 3: Cross multiply
    287,934.16x = 431,716.70 × 119,570.70
  4. Step 4: Simplify right side
    287,934.16x = 51,620,668,319.62
  5. Step 5: Solve for x
    x = 51,620,668,319.62/287,934.16
  6. Step 6: Final answer
    x = 179,279.42

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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.