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Finding the Fourth Proportional to 290,356.80, 435,329.28 and 112,714.08

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Solution

The fourth proportional to 290,356.80, 435,329.28 and 112,714.08 is: 168,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,356.80 : 435,329.28 = 112,714.08 : x
  2. Step 2: Convert to fraction form
    290,356.80/435,329.28 = 112,714.08/x
  3. Step 3: Cross multiply
    290,356.80x = 435,329.28 × 112,714.08
  4. Step 4: Simplify right side
    290,356.80x = 49,067,739,292.26
  5. Step 5: Solve for x
    x = 49,067,739,292.26/290,356.80
  6. Step 6: Final answer
    x = 168,991.18

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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.