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Finding the Fourth Proportional to 311,895.19, 467,859.81 and 98,647.18

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Solution

The fourth proportional to 311,895.19, 467,859.81 and 98,647.18 is: 147,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,895.19 : 467,859.81 = 98,647.18 : x
  2. Step 2: Convert to fraction form
    311,895.19/467,859.81 = 98,647.18/x
  3. Step 3: Cross multiply
    311,895.19x = 467,859.81 × 98,647.18
  4. Step 4: Simplify right side
    311,895.19x = 46,153,050,891.84
  5. Step 5: Solve for x
    x = 46,153,050,891.84/311,895.19
  6. Step 6: Final answer
    x = 147,976.15

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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.