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Finding the Fourth Proportional to 305,037.64, 420,977.13 and 169,114.22

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Solution

The fourth proportional to 305,037.64, 420,977.13 and 169,114.22 is: 233,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,037.64 : 420,977.13 = 169,114.22 : x
  2. Step 2: Convert to fraction form
    305,037.64/420,977.13 = 169,114.22/x
  3. Step 3: Cross multiply
    305,037.64x = 420,977.13 × 169,114.22
  4. Step 4: Simplify right side
    305,037.64x = 71,193,218,977.79
  5. Step 5: Solve for x
    x = 71,193,218,977.79/305,037.64
  6. Step 6: Final answer
    x = 233,391.59

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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.