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Finding the Fourth Proportional to 371,206.30, 512,264.69 and 201,440.42

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Solution

The fourth proportional to 371,206.30, 512,264.69 and 201,440.42 is: 277,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,206.30 : 512,264.69 = 201,440.42 : x
  2. Step 2: Convert to fraction form
    371,206.30/512,264.69 = 201,440.42/x
  3. Step 3: Cross multiply
    371,206.30x = 512,264.69 × 201,440.42
  4. Step 4: Simplify right side
    371,206.30x = 103,190,815,573.76
  5. Step 5: Solve for x
    x = 103,190,815,573.76/371,206.30
  6. Step 6: Final answer
    x = 277,987.78

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1.5x scale

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.