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Finding the Fourth Proportional to 421,527.85, 632,250.77 and 231,925.88

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Solution

The fourth proportional to 421,527.85, 632,250.77 and 231,925.88 is: 347,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,527.85 : 632,250.77 = 231,925.88 : x
  2. Step 2: Convert to fraction form
    421,527.85/632,250.77 = 231,925.88/x
  3. Step 3: Cross multiply
    421,527.85x = 632,250.77 × 231,925.88
  4. Step 4: Simplify right side
    421,527.85x = 146,635,316,633.93
  5. Step 5: Solve for x
    x = 146,635,316,633.93/421,527.85
  6. Step 6: Final answer
    x = 347,866.26

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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.