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Finding the Fourth Proportional to 460,542.81, 690,050.50 and 280,082.40

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Solution

The fourth proportional to 460,542.81, 690,050.50 and 280,082.40 is: 419,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,542.81 : 690,050.50 = 280,082.40 : x
  2. Step 2: Convert to fraction form
    460,542.81/690,050.50 = 280,082.40/x
  3. Step 3: Cross multiply
    460,542.81x = 690,050.50 × 280,082.40
  4. Step 4: Simplify right side
    460,542.81x = 193,271,000,161.20
  5. Step 5: Solve for x
    x = 193,271,000,161.20/460,542.81
  6. Step 6: Final answer
    x = 419,659.14

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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.