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Finding the Fourth Proportional to 268,661.40, 403,283.70 and 209,758.20

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Solution

The fourth proportional to 268,661.40, 403,283.70 and 209,758.20 is: 314,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,661.40 : 403,283.70 = 209,758.20 : x
  2. Step 2: Convert to fraction form
    268,661.40/403,283.70 = 209,758.20/x
  3. Step 3: Cross multiply
    268,661.40x = 403,283.70 × 209,758.20
  4. Step 4: Simplify right side
    268,661.40x = 84,592,063,001.34
  5. Step 5: Solve for x
    x = 84,592,063,001.34/268,661.40
  6. Step 6: Final answer
    x = 314,864.97

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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.