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Finding the Fourth Proportional to 421,578.25, 632,320.80 and 106,035.28

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Solution

The fourth proportional to 421,578.25, 632,320.80 and 106,035.28 is: 159,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,578.25 : 632,320.80 = 106,035.28 : x
  2. Step 2: Convert to fraction form
    421,578.25/632,320.80 = 106,035.28/x
  3. Step 3: Cross multiply
    421,578.25x = 632,320.80 × 106,035.28
  4. Step 4: Simplify right side
    421,578.25x = 67,048,313,077.82
  5. Step 5: Solve for x
    x = 67,048,313,077.82/421,578.25
  6. Step 6: Final answer
    x = 159,041.21

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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.