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Finding the Fourth Proportional to 371,677.60, 512,915.70 and 201,911.86

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Solution

The fourth proportional to 371,677.60, 512,915.70 and 201,911.86 is: 278,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,677.60 : 512,915.70 = 201,911.86 : x
  2. Step 2: Convert to fraction form
    371,677.60/512,915.70 = 201,911.86/x
  3. Step 3: Cross multiply
    371,677.60x = 512,915.70 × 201,911.86
  4. Step 4: Simplify right side
    371,677.60x = 103,563,763,010.20
  5. Step 5: Solve for x
    x = 103,563,763,010.20/371,677.60
  6. Step 6: Final answer
    x = 278,638.70

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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.