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Finding the Fourth Proportional to 447,785.97, 617,744.93 and 302,545.01

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Solution

The fourth proportional to 447,785.97, 617,744.93 and 302,545.01 is: 417,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,785.97 : 617,744.93 = 302,545.01 : x
  2. Step 2: Convert to fraction form
    447,785.97/617,744.93 = 302,545.01/x
  3. Step 3: Cross multiply
    447,785.97x = 617,744.93 × 302,545.01
  4. Step 4: Simplify right side
    447,785.97x = 186,895,641,422.85
  5. Step 5: Solve for x
    x = 186,895,641,422.85/447,785.97
  6. Step 6: Final answer
    x = 417,377.17

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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.