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Finding the Fourth Proportional to 815,967, 1,223,994.24 and 255,045.24

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Solution

The fourth proportional to 815,967, 1,223,994.24 and 255,045.24 is: 382,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,967 : 1,223,994.24 = 255,045.24 : x
  2. Step 2: Convert to fraction form
    815,967/1,223,994.24 = 255,045.24/x
  3. Step 3: Cross multiply
    815,967x = 1,223,994.24 × 255,045.24
  4. Step 4: Simplify right side
    815,967x = 312,173,904,699.42
  5. Step 5: Solve for x
    x = 312,173,904,699.42/815,967
  6. Step 6: Final answer
    x = 382,581.53

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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.