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Finding the Fourth Proportional to 417,126.84, 625,690.25 and 192,420.79

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Solution

The fourth proportional to 417,126.84, 625,690.25 and 192,420.79 is: 288,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,126.84 : 625,690.25 = 192,420.79 : x
  2. Step 2: Convert to fraction form
    417,126.84/625,690.25 = 192,420.79/x
  3. Step 3: Cross multiply
    417,126.84x = 625,690.25 × 192,420.79
  4. Step 4: Simplify right side
    417,126.84x = 120,395,812,982.41
  5. Step 5: Solve for x
    x = 120,395,812,982.41/417,126.84
  6. Step 6: Final answer
    x = 288,631.18

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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.