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Finding the Fourth Proportional to 402,882.24, 555,976.74 and 230,856

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Solution

The fourth proportional to 402,882.24, 555,976.74 and 230,856 is: 318,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,882.24 : 555,976.74 = 230,856 : x
  2. Step 2: Convert to fraction form
    402,882.24/555,976.74 = 230,856/x
  3. Step 3: Cross multiply
    402,882.24x = 555,976.74 × 230,856
  4. Step 4: Simplify right side
    402,882.24x = 128,350,566,289.44
  5. Step 5: Solve for x
    x = 128,350,566,289.44/402,882.24
  6. Step 6: Final answer
    x = 318,580.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.