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Finding the Fourth Proportional to 216,396, 324,589.68 and 98,045.28

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Solution

The fourth proportional to 216,396, 324,589.68 and 98,045.28 is: 147,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,396 : 324,589.68 = 98,045.28 : x
  2. Step 2: Convert to fraction form
    216,396/324,589.68 = 98,045.28/x
  3. Step 3: Cross multiply
    216,396x = 324,589.68 × 98,045.28
  4. Step 4: Simplify right side
    216,396x = 31,824,486,060.71
  5. Step 5: Solve for x
    x = 31,824,486,060.71/216,396
  6. Step 6: Final answer
    x = 147,065.96

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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.