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Finding the Fourth Proportional to 635,411.50, 877,064.70 and 409,057

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Solution

The fourth proportional to 635,411.50, 877,064.70 and 409,057 is: 564,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,411.50 : 877,064.70 = 409,057 : x
  2. Step 2: Convert to fraction form
    635,411.50/877,064.70 = 409,057/x
  3. Step 3: Cross multiply
    635,411.50x = 877,064.70 × 409,057
  4. Step 4: Simplify right side
    635,411.50x = 358,769,454,987.90
  5. Step 5: Solve for x
    x = 358,769,454,987.90/635,411.50
  6. Step 6: Final answer
    x = 564,625.37

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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.