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Finding the Fourth Proportional to 421,277.80, 631,897.26 and 105,727.72

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Solution

The fourth proportional to 421,277.80, 631,897.26 and 105,727.72 is: 158,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,277.80 : 631,897.26 = 105,727.72 : x
  2. Step 2: Convert to fraction form
    421,277.80/631,897.26 = 105,727.72/x
  3. Step 3: Cross multiply
    421,277.80x = 631,897.26 × 105,727.72
  4. Step 4: Simplify right side
    421,277.80x = 66,809,056,574.05
  5. Step 5: Solve for x
    x = 66,809,056,574.05/421,277.80
  6. Step 6: Final answer
    x = 158,586.70

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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.