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Finding the Fourth Proportional to 270,924.80, 405,235.20 and 243,046.40

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Solution

The fourth proportional to 270,924.80, 405,235.20 and 243,046.40 is: 363,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924.80 : 405,235.20 = 243,046.40 : x
  2. Step 2: Convert to fraction form
    270,924.80/405,235.20 = 243,046.40/x
  3. Step 3: Cross multiply
    270,924.80x = 405,235.20 × 243,046.40
  4. Step 4: Simplify right side
    270,924.80x = 98,490,956,513.28
  5. Step 5: Solve for x
    x = 98,490,956,513.28/270,924.80
  6. Step 6: Final answer
    x = 363,536.14

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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.