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Finding the Fourth Proportional to 421,580.25, 632,323.80 and 106,037.28

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Solution

The fourth proportional to 421,580.25, 632,323.80 and 106,037.28 is: 159,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,580.25 : 632,323.80 = 106,037.28 : x
  2. Step 2: Convert to fraction form
    421,580.25/632,323.80 = 106,037.28/x
  3. Step 3: Cross multiply
    421,580.25x = 632,323.80 × 106,037.28
  4. Step 4: Simplify right side
    421,580.25x = 67,049,895,831.26
  5. Step 5: Solve for x
    x = 67,049,895,831.26/421,580.25
  6. Step 6: Final answer
    x = 159,044.21

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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.