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Finding the Fourth Proportional to 400,902.13, 600,713.48 and 293,789.69

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Solution

The fourth proportional to 400,902.13, 600,713.48 and 293,789.69 is: 440,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,902.13 : 600,713.48 = 293,789.69 : x
  2. Step 2: Convert to fraction form
    400,902.13/600,713.48 = 293,789.69/x
  3. Step 3: Cross multiply
    400,902.13x = 600,713.48 × 293,789.69
  4. Step 4: Simplify right side
    400,902.13x = 176,483,424,798.93
  5. Step 5: Solve for x
    x = 176,483,424,798.93/400,902.13
  6. Step 6: Final answer
    x = 440,215.74

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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.