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Finding the Fourth Proportional to 460,607.56, 690,387.22 and 280,295.30

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Solution

The fourth proportional to 460,607.56, 690,387.22 and 280,295.30 is: 420,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,607.56 : 690,387.22 = 280,295.30 : x
  2. Step 2: Convert to fraction form
    460,607.56/690,387.22 = 280,295.30/x
  3. Step 3: Cross multiply
    460,607.56x = 690,387.22 × 280,295.30
  4. Step 4: Simplify right side
    460,607.56x = 193,512,292,946.07
  5. Step 5: Solve for x
    x = 193,512,292,946.07/460,607.56
  6. Step 6: Final answer
    x = 420,124.01

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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.