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Finding the Fourth Proportional to 635,712.96, 877,279.64 and 345,321.88

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Solution

The fourth proportional to 635,712.96, 877,279.64 and 345,321.88 is: 476,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,712.96 : 877,279.64 = 345,321.88 : x
  2. Step 2: Convert to fraction form
    635,712.96/877,279.64 = 345,321.88/x
  3. Step 3: Cross multiply
    635,712.96x = 877,279.64 × 345,321.88
  4. Step 4: Simplify right side
    635,712.96x = 302,943,854,570.52
  5. Step 5: Solve for x
    x = 302,943,854,570.52/635,712.96
  6. Step 6: Final answer
    x = 476,541.89

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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.