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Finding the Fourth Proportional to 413,007.60, 618,474.60 and 394,345.20

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Solution

The fourth proportional to 413,007.60, 618,474.60 and 394,345.20 is: 590,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,007.60 : 618,474.60 = 394,345.20 : x
  2. Step 2: Convert to fraction form
    413,007.60/618,474.60 = 394,345.20/x
  3. Step 3: Cross multiply
    413,007.60x = 618,474.60 × 394,345.20
  4. Step 4: Simplify right side
    413,007.60x = 243,892,489,831.92
  5. Step 5: Solve for x
    x = 243,892,489,831.92/413,007.60
  6. Step 6: Final answer
    x = 590,527.85

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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.