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Finding the Fourth Proportional to 225,686.61, 311,658.21 and 145,254.22

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Solution

The fourth proportional to 225,686.61, 311,658.21 and 145,254.22 is: 200,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.61 : 311,658.21 = 145,254.22 : x
  2. Step 2: Convert to fraction form
    225,686.61/311,658.21 = 145,254.22/x
  3. Step 3: Cross multiply
    225,686.61x = 311,658.21 × 145,254.22
  4. Step 4: Simplify right side
    225,686.61x = 45,269,669,837.01
  5. Step 5: Solve for x
    x = 45,269,669,837.01/225,686.61
  6. Step 6: Final answer
    x = 200,586.42

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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.