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Finding the Fourth Proportional to 611,857.90, 844,092.24 and 407,709.65

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Solution

The fourth proportional to 611,857.90, 844,092.24 and 407,709.65 is: 562,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,857.90 : 844,092.24 = 407,709.65 : x
  2. Step 2: Convert to fraction form
    611,857.90/844,092.24 = 407,709.65/x
  3. Step 3: Cross multiply
    611,857.90x = 844,092.24 × 407,709.65
  4. Step 4: Simplify right side
    611,857.90x = 344,144,554,612.80
  5. Step 5: Solve for x
    x = 344,144,554,612.80/611,857.90
  6. Step 6: Final answer
    x = 562,458.30

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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.