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Finding the Fourth Proportional to 638,784, 958,338 and 239,425.92

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Solution

The fourth proportional to 638,784, 958,338 and 239,425.92 is: 359,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,784 : 958,338 = 239,425.92 : x
  2. Step 2: Convert to fraction form
    638,784/958,338 = 239,425.92/x
  3. Step 3: Cross multiply
    638,784x = 958,338 × 239,425.92
  4. Step 4: Simplify right side
    638,784x = 229,450,957,320.96
  5. Step 5: Solve for x
    x = 229,450,957,320.96/638,784
  6. Step 6: Final answer
    x = 359,199.60

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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.