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Finding the Fourth Proportional to 259,315.29, 388,751.06 and 99,505.90

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Solution

The fourth proportional to 259,315.29, 388,751.06 and 99,505.90 is: 149,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,315.29 : 388,751.06 = 99,505.90 : x
  2. Step 2: Convert to fraction form
    259,315.29/388,751.06 = 99,505.90/x
  3. Step 3: Cross multiply
    259,315.29x = 388,751.06 × 99,505.90
  4. Step 4: Simplify right side
    259,315.29x = 38,683,023,603.72
  5. Step 5: Solve for x
    x = 38,683,023,603.72/259,315.29
  6. Step 6: Final answer
    x = 149,173.71

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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.