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Finding the Fourth Proportional to 399,114.98, 598,354.59 and 230,443.97

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Solution

The fourth proportional to 399,114.98, 598,354.59 and 230,443.97 is: 345,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,114.98 : 598,354.59 = 230,443.97 : x
  2. Step 2: Convert to fraction form
    399,114.98/598,354.59 = 230,443.97/x
  3. Step 3: Cross multiply
    399,114.98x = 598,354.59 × 230,443.97
  4. Step 4: Simplify right side
    399,114.98x = 137,887,207,187.32
  5. Step 5: Solve for x
    x = 137,887,207,187.32/399,114.98
  6. Step 6: Final answer
    x = 345,482.42

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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.