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Finding the Fourth Proportional to 270,829.20, 406,308.60 and 130,472.40

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Solution

The fourth proportional to 270,829.20, 406,308.60 and 130,472.40 is: 195,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,829.20 : 406,308.60 = 130,472.40 : x
  2. Step 2: Convert to fraction form
    270,829.20/406,308.60 = 130,472.40/x
  3. Step 3: Cross multiply
    270,829.20x = 406,308.60 × 130,472.40
  4. Step 4: Simplify right side
    270,829.20x = 53,012,058,182.64
  5. Step 5: Solve for x
    x = 53,012,058,182.64/270,829.20
  6. Step 6: Final answer
    x = 195,739.82

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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.