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Finding the Fourth Proportional to 635,055.85, 877,104.42 and 418,233.77

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Solution

The fourth proportional to 635,055.85, 877,104.42 and 418,233.77 is: 577,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,055.85 : 877,104.42 = 418,233.77 : x
  2. Step 2: Convert to fraction form
    635,055.85/877,104.42 = 418,233.77/x
  3. Step 3: Cross multiply
    635,055.85x = 877,104.42 × 418,233.77
  4. Step 4: Simplify right side
    635,055.85x = 366,834,682,829.16
  5. Step 5: Solve for x
    x = 366,834,682,829.16/635,055.85
  6. Step 6: Final answer
    x = 577,641.61

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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.