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Finding the Fourth Proportional to 657,115.80, 985,525 and 301,788.24

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Solution

The fourth proportional to 657,115.80, 985,525 and 301,788.24 is: 452,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,115.80 : 985,525 = 301,788.24 : x
  2. Step 2: Convert to fraction form
    657,115.80/985,525 = 301,788.24/x
  3. Step 3: Cross multiply
    657,115.80x = 985,525 × 301,788.24
  4. Step 4: Simplify right side
    657,115.80x = 297,419,855,226
  5. Step 5: Solve for x
    x = 297,419,855,226/657,115.80
  6. Step 6: Final answer
    x = 452,614.07

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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.