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Finding the Fourth Proportional to 270,929.96, 406,246.80 and 215,128.52

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Solution

The fourth proportional to 270,929.96, 406,246.80 and 215,128.52 is: 322,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,929.96 : 406,246.80 = 215,128.52 : x
  2. Step 2: Convert to fraction form
    270,929.96/406,246.80 = 215,128.52/x
  3. Step 3: Cross multiply
    270,929.96x = 406,246.80 × 215,128.52
  4. Step 4: Simplify right side
    270,929.96x = 87,395,272,838.74
  5. Step 5: Solve for x
    x = 87,395,272,838.74/270,929.96
  6. Step 6: Final answer
    x = 322,575.15

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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.