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Finding the Fourth Proportional to 447,689.84, 617,834.79 and 254,111.18

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Solution

The fourth proportional to 447,689.84, 617,834.79 and 254,111.18 is: 350,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,689.84 : 617,834.79 = 254,111.18 : x
  2. Step 2: Convert to fraction form
    447,689.84/617,834.79 = 254,111.18/x
  3. Step 3: Cross multiply
    447,689.84x = 617,834.79 × 254,111.18
  4. Step 4: Simplify right side
    447,689.84x = 156,998,724,442.78
  5. Step 5: Solve for x
    x = 156,998,724,442.78/447,689.84
  6. Step 6: Final answer
    x = 350,686.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.