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Finding the Fourth Proportional to 313,897.47, 433,247.30 and 206,478.10

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Solution

The fourth proportional to 313,897.47, 433,247.30 and 206,478.10 is: 284,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.47 : 433,247.30 = 206,478.10 : x
  2. Step 2: Convert to fraction form
    313,897.47/433,247.30 = 206,478.10/x
  3. Step 3: Cross multiply
    313,897.47x = 433,247.30 × 206,478.10
  4. Step 4: Simplify right side
    313,897.47x = 89,456,079,334.13
  5. Step 5: Solve for x
    x = 89,456,079,334.13/313,897.47
  6. Step 6: Final answer
    x = 284,985.03

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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.