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Finding the Fourth Proportional to 300,647.16, 413,948.88 and 255,231

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Solution

The fourth proportional to 300,647.16, 413,948.88 and 255,231 is: 351,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,647.16 : 413,948.88 = 255,231 : x
  2. Step 2: Convert to fraction form
    300,647.16/413,948.88 = 255,231/x
  3. Step 3: Cross multiply
    300,647.16x = 413,948.88 × 255,231
  4. Step 4: Simplify right side
    300,647.16x = 105,652,586,591.28
  5. Step 5: Solve for x
    x = 105,652,586,591.28/300,647.16
  6. Step 6: Final answer
    x = 351,417.21

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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.