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Finding the Fourth Proportional to 411,708.98, 568,158.31 and 230,420.90

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Solution

The fourth proportional to 411,708.98, 568,158.31 and 230,420.90 is: 317,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,708.98 : 568,158.31 = 230,420.90 : x
  2. Step 2: Convert to fraction form
    411,708.98/568,158.31 = 230,420.90/x
  3. Step 3: Cross multiply
    411,708.98x = 568,158.31 × 230,420.90
  4. Step 4: Simplify right side
    411,708.98x = 130,915,551,165.13
  5. Step 5: Solve for x
    x = 130,915,551,165.13/411,708.98
  6. Step 6: Final answer
    x = 317,980.80

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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.