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Finding the Fourth Proportional to 557,616.32, 769,517.52 and 302,971.76

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Solution

The fourth proportional to 557,616.32, 769,517.52 and 302,971.76 is: 418,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,616.32 : 769,517.52 = 302,971.76 : x
  2. Step 2: Convert to fraction form
    557,616.32/769,517.52 = 302,971.76/x
  3. Step 3: Cross multiply
    557,616.32x = 769,517.52 × 302,971.76
  4. Step 4: Simplify right side
    557,616.32x = 233,142,077,385.24
  5. Step 5: Solve for x
    x = 233,142,077,385.24/557,616.32
  6. Step 6: Final answer
    x = 418,104.83

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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.