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Finding the Fourth Proportional to 421,275.68, 632,071.28 and 218,745.36

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Solution

The fourth proportional to 421,275.68, 632,071.28 and 218,745.36 is: 328,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,275.68 : 632,071.28 = 218,745.36 : x
  2. Step 2: Convert to fraction form
    421,275.68/632,071.28 = 218,745.36/x
  3. Step 3: Cross multiply
    421,275.68x = 632,071.28 × 218,745.36
  4. Step 4: Simplify right side
    421,275.68x = 138,262,659,689.26
  5. Step 5: Solve for x
    x = 138,262,659,689.26/421,275.68
  6. Step 6: Final answer
    x = 328,199.96

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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.