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Finding the Fourth Proportional to 460,606.56, 690,385.72 and 280,294.30

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Solution

The fourth proportional to 460,606.56, 690,385.72 and 280,294.30 is: 420,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,606.56 : 690,385.72 = 280,294.30 : x
  2. Step 2: Convert to fraction form
    460,606.56/690,385.72 = 280,294.30/x
  3. Step 3: Cross multiply
    460,606.56x = 690,385.72 × 280,294.30
  4. Step 4: Simplify right side
    460,606.56x = 193,511,182,117.40
  5. Step 5: Solve for x
    x = 193,511,182,117.40/460,606.56
  6. Step 6: Final answer
    x = 420,122.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.