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Finding the Fourth Proportional to 408,851.40, 564,214.10 and 230,003.40

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Solution

The fourth proportional to 408,851.40, 564,214.10 and 230,003.40 is: 317,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,851.40 : 564,214.10 = 230,003.40 : x
  2. Step 2: Convert to fraction form
    408,851.40/564,214.10 = 230,003.40/x
  3. Step 3: Cross multiply
    408,851.40x = 564,214.10 × 230,003.40
  4. Step 4: Simplify right side
    408,851.40x = 129,771,161,327.94
  5. Step 5: Solve for x
    x = 129,771,161,327.94/408,851.40
  6. Step 6: Final answer
    x = 317,404.22

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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.