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Finding the Fourth Proportional to 438,839, 658,260.66 and 106,415

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Solution

The fourth proportional to 438,839, 658,260.66 and 106,415 is: 159,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,839 : 658,260.66 = 106,415 : x
  2. Step 2: Convert to fraction form
    438,839/658,260.66 = 106,415/x
  3. Step 3: Cross multiply
    438,839x = 658,260.66 × 106,415
  4. Step 4: Simplify right side
    438,839x = 70,048,808,133.90
  5. Step 5: Solve for x
    x = 70,048,808,133.90/438,839
  6. Step 6: Final answer
    x = 159,623.02

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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.