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Finding the Fourth Proportional to 411,974.74, 617,235.33 and 360,802.78

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Solution

The fourth proportional to 411,974.74, 617,235.33 and 360,802.78 is: 540,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,974.74 : 617,235.33 = 360,802.78 : x
  2. Step 2: Convert to fraction form
    411,974.74/617,235.33 = 360,802.78/x
  3. Step 3: Cross multiply
    411,974.74x = 617,235.33 × 360,802.78
  4. Step 4: Simplify right side
    411,974.74x = 222,700,221,174.20
  5. Step 5: Solve for x
    x = 222,700,221,174.20/411,974.74
  6. Step 6: Final answer
    x = 540,567.66

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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.