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Finding the Fourth Proportional to 420,069.68, 579,741.10 and 256,821.97

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Solution

The fourth proportional to 420,069.68, 579,741.10 and 256,821.97 is: 354,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,069.68 : 579,741.10 = 256,821.97 : x
  2. Step 2: Convert to fraction form
    420,069.68/579,741.10 = 256,821.97/x
  3. Step 3: Cross multiply
    420,069.68x = 579,741.10 × 256,821.97
  4. Step 4: Simplify right side
    420,069.68x = 148,890,251,391.97
  5. Step 5: Solve for x
    x = 148,890,251,391.97/420,069.68
  6. Step 6: Final answer
    x = 354,441.80

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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.