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Finding the Fourth Proportional to 371,275.06, 512,359.50 and 201,509.20

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Solution

The fourth proportional to 371,275.06, 512,359.50 and 201,509.20 is: 278,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,275.06 : 512,359.50 = 201,509.20 : x
  2. Step 2: Convert to fraction form
    371,275.06/512,359.50 = 201,509.20/x
  3. Step 3: Cross multiply
    371,275.06x = 512,359.50 × 201,509.20
  4. Step 4: Simplify right side
    371,275.06x = 103,245,152,957.40
  5. Step 5: Solve for x
    x = 103,245,152,957.40/371,275.06
  6. Step 6: Final answer
    x = 278,082.65

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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.