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Finding the Fourth Proportional to 589,274.38, 813,198.76 and 321,002.38

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Solution

The fourth proportional to 589,274.38, 813,198.76 and 321,002.38 is: 442,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,274.38 : 813,198.76 = 321,002.38 : x
  2. Step 2: Convert to fraction form
    589,274.38/813,198.76 = 321,002.38/x
  3. Step 3: Cross multiply
    589,274.38x = 813,198.76 × 321,002.38
  4. Step 4: Simplify right side
    589,274.38x = 261,038,737,373.05
  5. Step 5: Solve for x
    x = 261,038,737,373.05/589,274.38
  6. Step 6: Final answer
    x = 442,983.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.