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Finding the Fourth Proportional to 374,684.81, 517,069.11 and 204,915.29

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Solution

The fourth proportional to 374,684.81, 517,069.11 and 204,915.29 is: 282,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,684.81 : 517,069.11 = 204,915.29 : x
  2. Step 2: Convert to fraction form
    374,684.81/517,069.11 = 204,915.29/x
  3. Step 3: Cross multiply
    374,684.81x = 517,069.11 × 204,915.29
  4. Step 4: Simplify right side
    374,684.81x = 105,955,364,040.35
  5. Step 5: Solve for x
    x = 105,955,364,040.35/374,684.81
  6. Step 6: Final answer
    x = 282,785.32

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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.