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Finding the Fourth Proportional to 398,547.22, 598,171.74 and 209,142.86

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Solution

The fourth proportional to 398,547.22, 598,171.74 and 209,142.86 is: 313,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,547.22 : 598,171.74 = 209,142.86 : x
  2. Step 2: Convert to fraction form
    398,547.22/598,171.74 = 209,142.86/x
  3. Step 3: Cross multiply
    398,547.22x = 598,171.74 × 209,142.86
  4. Step 4: Simplify right side
    398,547.22x = 125,103,348,474.78
  5. Step 5: Solve for x
    x = 125,103,348,474.78/398,547.22
  6. Step 6: Final answer
    x = 313,898.43

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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.