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Finding the Fourth Proportional to 420,744.08, 584,546.52 and 415,699.52

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Solution

The fourth proportional to 420,744.08, 584,546.52 and 415,699.52 is: 577,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,744.08 : 584,546.52 = 415,699.52 : x
  2. Step 2: Convert to fraction form
    420,744.08/584,546.52 = 415,699.52/x
  3. Step 3: Cross multiply
    420,744.08x = 584,546.52 × 415,699.52
  4. Step 4: Simplify right side
    420,744.08x = 242,995,707,781.67
  5. Step 5: Solve for x
    x = 242,995,707,781.67/420,744.08
  6. Step 6: Final answer
    x = 577,538.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.