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Finding the Fourth Proportional to 475,083, 655,595.34 and 284,201.88

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Solution

The fourth proportional to 475,083, 655,595.34 and 284,201.88 is: 392,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,083 : 655,595.34 = 284,201.88 : x
  2. Step 2: Convert to fraction form
    475,083/655,595.34 = 284,201.88/x
  3. Step 3: Cross multiply
    475,083x = 655,595.34 × 284,201.88
  4. Step 4: Simplify right side
    475,083x = 186,321,428,147.24
  5. Step 5: Solve for x
    x = 186,321,428,147.24/475,083
  6. Step 6: Final answer
    x = 392,187.11

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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.