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Finding the Fourth Proportional to 460,607.68, 690,387.40 and 280,295.42

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Solution

The fourth proportional to 460,607.68, 690,387.40 and 280,295.42 is: 420,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,607.68 : 690,387.40 = 280,295.42 : x
  2. Step 2: Convert to fraction form
    460,607.68/690,387.40 = 280,295.42/x
  3. Step 3: Cross multiply
    460,607.68x = 690,387.40 × 280,295.42
  4. Step 4: Simplify right side
    460,607.68x = 193,512,426,245.71
  5. Step 5: Solve for x
    x = 193,512,426,245.71/460,607.68
  6. Step 6: Final answer
    x = 420,124.19

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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.