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Finding the Fourth Proportional to 270,462.40, 406,039.20 and 144,203.20

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Solution

The fourth proportional to 270,462.40, 406,039.20 and 144,203.20 is: 216,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,462.40 : 406,039.20 = 144,203.20 : x
  2. Step 2: Convert to fraction form
    270,462.40/406,039.20 = 144,203.20/x
  3. Step 3: Cross multiply
    270,462.40x = 406,039.20 × 144,203.20
  4. Step 4: Simplify right side
    270,462.40x = 58,552,151,965.44
  5. Step 5: Solve for x
    x = 58,552,151,965.44/270,462.40
  6. Step 6: Final answer
    x = 216,489.06

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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.