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Finding the Fourth Proportional to 723,308.86, 998,198.63 and 413,238.56

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Solution

The fourth proportional to 723,308.86, 998,198.63 and 413,238.56 is: 570,287.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,308.86 : 998,198.63 = 413,238.56 : x
  2. Step 2: Convert to fraction form
    723,308.86/998,198.63 = 413,238.56/x
  3. Step 3: Cross multiply
    723,308.86x = 998,198.63 × 413,238.56
  4. Step 4: Simplify right side
    723,308.86x = 412,494,159,678.83
  5. Step 5: Solve for x
    x = 412,494,159,678.83/723,308.86
  6. Step 6: Final answer
    x = 570,287.72

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1.5x scale

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.