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Finding the Fourth Proportional to 399,429.30, 551,211.12 and 238,291.14

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Solution

The fourth proportional to 399,429.30, 551,211.12 and 238,291.14 is: 328,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,429.30 : 551,211.12 = 238,291.14 : x
  2. Step 2: Convert to fraction form
    399,429.30/551,211.12 = 238,291.14/x
  3. Step 3: Cross multiply
    399,429.30x = 551,211.12 × 238,291.14
  4. Step 4: Simplify right side
    399,429.30x = 131,348,726,165.48
  5. Step 5: Solve for x
    x = 131,348,726,165.48/399,429.30
  6. Step 6: Final answer
    x = 328,840.99

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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.