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Finding the Fourth Proportional to 309,764, 427,408.40 and 182,393.12

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Solution

The fourth proportional to 309,764, 427,408.40 and 182,393.12 is: 251,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,764 : 427,408.40 = 182,393.12 : x
  2. Step 2: Convert to fraction form
    309,764/427,408.40 = 182,393.12/x
  3. Step 3: Cross multiply
    309,764x = 427,408.40 × 182,393.12
  4. Step 4: Simplify right side
    309,764x = 77,956,351,590.21
  5. Step 5: Solve for x
    x = 77,956,351,590.21/309,764
  6. Step 6: Final answer
    x = 251,663.69

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1.5x scale

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.