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Finding the Fourth Proportional to 221,471.79, 305,524.77 and 144,957.20

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Solution

The fourth proportional to 221,471.79, 305,524.77 and 144,957.20 is: 199,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.79 : 305,524.77 = 144,957.20 : x
  2. Step 2: Convert to fraction form
    221,471.79/305,524.77 = 144,957.20/x
  3. Step 3: Cross multiply
    221,471.79x = 305,524.77 × 144,957.20
  4. Step 4: Simplify right side
    221,471.79x = 44,288,013,118.63
  5. Step 5: Solve for x
    x = 44,288,013,118.63/221,471.79
  6. Step 6: Final answer
    x = 199,971.35

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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.