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Finding the Fourth Proportional to 421,726.56, 632,498.40 and 133,560.96

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Solution

The fourth proportional to 421,726.56, 632,498.40 and 133,560.96 is: 200,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,726.56 : 632,498.40 = 133,560.96 : x
  2. Step 2: Convert to fraction form
    421,726.56/632,498.40 = 133,560.96/x
  3. Step 3: Cross multiply
    421,726.56x = 632,498.40 × 133,560.96
  4. Step 4: Simplify right side
    421,726.56x = 84,477,093,502.46
  5. Step 5: Solve for x
    x = 84,477,093,502.46/421,726.56
  6. Step 6: Final answer
    x = 200,312.48

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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.