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Finding the Fourth Proportional to 268,988.66, 402,486.36 and 197,963.76

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Solution

The fourth proportional to 268,988.66, 402,486.36 and 197,963.76 is: 296,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,988.66 : 402,486.36 = 197,963.76 : x
  2. Step 2: Convert to fraction form
    268,988.66/402,486.36 = 197,963.76/x
  3. Step 3: Cross multiply
    268,988.66x = 402,486.36 × 197,963.76
  4. Step 4: Simplify right side
    268,988.66x = 79,677,713,174.31
  5. Step 5: Solve for x
    x = 79,677,713,174.31/268,988.66
  6. Step 6: Final answer
    x = 296,212.16

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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.