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Finding the Fourth Proportional to 398,470.74, 549,889.83 and 226,389.02

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Solution

The fourth proportional to 398,470.74, 549,889.83 and 226,389.02 is: 312,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,470.74 : 549,889.83 = 226,389.02 : x
  2. Step 2: Convert to fraction form
    398,470.74/549,889.83 = 226,389.02/x
  3. Step 3: Cross multiply
    398,470.74x = 549,889.83 × 226,389.02
  4. Step 4: Simplify right side
    398,470.74x = 124,489,016,972.22
  5. Step 5: Solve for x
    x = 124,489,016,972.22/398,470.74
  6. Step 6: Final answer
    x = 312,416.96

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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.