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Finding the Fourth Proportional to 270,951.30, 406,657.35 and 121,421.70

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Solution

The fourth proportional to 270,951.30, 406,657.35 and 121,421.70 is: 182,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,951.30 : 406,657.35 = 121,421.70 : x
  2. Step 2: Convert to fraction form
    270,951.30/406,657.35 = 121,421.70/x
  3. Step 3: Cross multiply
    270,951.30x = 406,657.35 × 121,421.70
  4. Step 4: Simplify right side
    270,951.30x = 49,377,026,754.50
  5. Step 5: Solve for x
    x = 49,377,026,754.50/270,951.30
  6. Step 6: Final answer
    x = 182,235.80

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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.