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Finding the Fourth Proportional to 374,780.71, 517,233 and 205,040.35

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Solution

The fourth proportional to 374,780.71, 517,233 and 205,040.35 is: 282,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,780.71 : 517,233 = 205,040.35 : x
  2. Step 2: Convert to fraction form
    374,780.71/517,233 = 205,040.35/x
  3. Step 3: Cross multiply
    374,780.71x = 517,233 × 205,040.35
  4. Step 4: Simplify right side
    374,780.71x = 106,053,635,351.55
  5. Step 5: Solve for x
    x = 106,053,635,351.55/374,780.71
  6. Step 6: Final answer
    x = 282,975.17

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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.