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Finding the Fourth Proportional to 557,408.86, 769,226.43 and 302,764.30

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Solution

The fourth proportional to 557,408.86, 769,226.43 and 302,764.30 is: 417,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,408.86 : 769,226.43 = 302,764.30 : x
  2. Step 2: Convert to fraction form
    557,408.86/769,226.43 = 302,764.30/x
  3. Step 3: Cross multiply
    557,408.86x = 769,226.43 × 302,764.30
  4. Step 4: Simplify right side
    557,408.86x = 232,894,301,620.45
  5. Step 5: Solve for x
    x = 232,894,301,620.45/557,408.86
  6. Step 6: Final answer
    x = 417,815.93

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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.