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Finding the Fourth Proportional to 413,000, 570,034 and 243,288.80

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Solution

The fourth proportional to 413,000, 570,034 and 243,288.80 is: 335,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,000 : 570,034 = 243,288.80 : x
  2. Step 2: Convert to fraction form
    413,000/570,034 = 243,288.80/x
  3. Step 3: Cross multiply
    413,000x = 570,034 × 243,288.80
  4. Step 4: Simplify right side
    413,000x = 138,682,887,819.20
  5. Step 5: Solve for x
    x = 138,682,887,819.20/413,000
  6. Step 6: Final answer
    x = 335,793.92

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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.