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Finding the Fourth Proportional to 421,251.60, 631,877.40 and 105,718.80

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Solution

The fourth proportional to 421,251.60, 631,877.40 and 105,718.80 is: 158,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,251.60 : 631,877.40 = 105,718.80 : x
  2. Step 2: Convert to fraction form
    421,251.60/631,877.40 = 105,718.80/x
  3. Step 3: Cross multiply
    421,251.60x = 631,877.40 × 105,718.80
  4. Step 4: Simplify right side
    421,251.60x = 66,801,320,475.12
  5. Step 5: Solve for x
    x = 66,801,320,475.12/421,251.60
  6. Step 6: Final answer
    x = 158,578.20

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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.