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Finding the Fourth Proportional to 270,304, 405,062.33 and 129,898.60

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Solution

The fourth proportional to 270,304, 405,062.33 and 129,898.60 is: 194,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,304 : 405,062.33 = 129,898.60 : x
  2. Step 2: Convert to fraction form
    270,304/405,062.33 = 129,898.60/x
  3. Step 3: Cross multiply
    270,304x = 405,062.33 × 129,898.60
  4. Step 4: Simplify right side
    270,304x = 52,617,029,579.74
  5. Step 5: Solve for x
    x = 52,617,029,579.74/270,304
  6. Step 6: Final answer
    x = 194,658.72

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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.