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Finding the Fourth Proportional to 589,274.98, 813,199.54 and 321,002.98

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Solution

The fourth proportional to 589,274.98, 813,199.54 and 321,002.98 is: 442,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,274.98 : 813,199.54 = 321,002.98 : x
  2. Step 2: Convert to fraction form
    589,274.98/813,199.54 = 321,002.98/x
  3. Step 3: Cross multiply
    589,274.98x = 813,199.54 × 321,002.98
  4. Step 4: Simplify right side
    589,274.98x = 261,039,475,674.63
  5. Step 5: Solve for x
    x = 261,039,475,674.63/589,274.98
  6. Step 6: Final answer
    x = 442,984.15

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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.