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Finding the Fourth Proportional to 270,778.32, 406,400.76 and 130,654.80

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Solution

The fourth proportional to 270,778.32, 406,400.76 and 130,654.80 is: 196,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,778.32 : 406,400.76 = 130,654.80 : x
  2. Step 2: Convert to fraction form
    270,778.32/406,400.76 = 130,654.80/x
  3. Step 3: Cross multiply
    270,778.32x = 406,400.76 × 130,654.80
  4. Step 4: Simplify right side
    270,778.32x = 53,098,210,017.65
  5. Step 5: Solve for x
    x = 53,098,210,017.65/270,778.32
  6. Step 6: Final answer
    x = 196,094.76

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1.5x scale

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.