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Finding the Fourth Proportional to 371,680.40, 512,916.12 and 201,915.74

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Solution

The fourth proportional to 371,680.40, 512,916.12 and 201,915.74 is: 278,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,680.40 : 512,916.12 = 201,915.74 : x
  2. Step 2: Convert to fraction form
    371,680.40/512,916.12 = 201,915.74/x
  3. Step 3: Cross multiply
    371,680.40x = 512,916.12 × 201,915.74
  4. Step 4: Simplify right side
    371,680.40x = 103,565,837,927.73
  5. Step 5: Solve for x
    x = 103,565,837,927.73/371,680.40
  6. Step 6: Final answer
    x = 278,642.18

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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.