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Finding the Fourth Proportional to 460,608.68, 690,388.90 and 280,296.42

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Solution

The fourth proportional to 460,608.68, 690,388.90 and 280,296.42 is: 420,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,608.68 : 690,388.90 = 280,296.42 : x
  2. Step 2: Convert to fraction form
    460,608.68/690,388.90 = 280,296.42/x
  3. Step 3: Cross multiply
    460,608.68x = 690,388.90 × 280,296.42
  4. Step 4: Simplify right side
    460,608.68x = 193,513,537,077.74
  5. Step 5: Solve for x
    x = 193,513,537,077.74/460,608.68
  6. Step 6: Final answer
    x = 420,125.68

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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.