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Finding the Fourth Proportional to 557,091.96, 768,796.25 and 302,443.17

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Solution

The fourth proportional to 557,091.96, 768,796.25 and 302,443.17 is: 417,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,091.96 : 768,796.25 = 302,443.17 : x
  2. Step 2: Convert to fraction form
    557,091.96/768,796.25 = 302,443.17/x
  3. Step 3: Cross multiply
    557,091.96x = 768,796.25 × 302,443.17
  4. Step 4: Simplify right side
    557,091.96x = 232,517,173,421.90
  5. Step 5: Solve for x
    x = 232,517,173,421.90/557,091.96
  6. Step 6: Final answer
    x = 417,376.65

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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.