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Finding the Fourth Proportional to 218,228.91, 301,294.25 and 149,433.48

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Solution

The fourth proportional to 218,228.91, 301,294.25 and 149,433.48 is: 206,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,228.91 : 301,294.25 = 149,433.48 : x
  2. Step 2: Convert to fraction form
    218,228.91/301,294.25 = 149,433.48/x
  3. Step 3: Cross multiply
    218,228.91x = 301,294.25 × 149,433.48
  4. Step 4: Simplify right side
    218,228.91x = 45,023,448,094.70
  5. Step 5: Solve for x
    x = 45,023,448,094.70/218,228.91
  6. Step 6: Final answer
    x = 206,312.94

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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.