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Finding the Fourth Proportional to 398,582.86, 596,568.56 and 218,393.50

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Solution

The fourth proportional to 398,582.86, 596,568.56 and 218,393.50 is: 326,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,582.86 : 596,568.56 = 218,393.50 : x
  2. Step 2: Convert to fraction form
    398,582.86/596,568.56 = 218,393.50/x
  3. Step 3: Cross multiply
    398,582.86x = 596,568.56 × 218,393.50
  4. Step 4: Simplify right side
    398,582.86x = 130,286,695,808.36
  5. Step 5: Solve for x
    x = 130,286,695,808.36/398,582.86
  6. Step 6: Final answer
    x = 326,874.81

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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.