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Finding the Fourth Proportional to 522,013.68, 782,898 and 294,407.70

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Solution

The fourth proportional to 522,013.68, 782,898 and 294,407.70 is: 441,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,013.68 : 782,898 = 294,407.70 : x
  2. Step 2: Convert to fraction form
    522,013.68/782,898 = 294,407.70/x
  3. Step 3: Cross multiply
    522,013.68x = 782,898 × 294,407.70
  4. Step 4: Simplify right side
    522,013.68x = 230,491,199,514.60
  5. Step 5: Solve for x
    x = 230,491,199,514.60/522,013.68
  6. Step 6: Final answer
    x = 441,542.45

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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.