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Finding the Fourth Proportional to 423,742.65, 635,451.33 and 180,429.57

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Solution

The fourth proportional to 423,742.65, 635,451.33 and 180,429.57 is: 270,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,742.65 : 635,451.33 = 180,429.57 : x
  2. Step 2: Convert to fraction form
    423,742.65/635,451.33 = 180,429.57/x
  3. Step 3: Cross multiply
    423,742.65x = 635,451.33 × 180,429.57
  4. Step 4: Simplify right side
    423,742.65x = 114,654,210,227.83
  5. Step 5: Solve for x
    x = 114,654,210,227.83/423,742.65
  6. Step 6: Final answer
    x = 270,575.10

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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.