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Finding the Fourth Proportional to 557,213.94, 768,958.38 and 302,565.20

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Solution

The fourth proportional to 557,213.94, 768,958.38 and 302,565.20 is: 417,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,213.94 : 768,958.38 = 302,565.20 : x
  2. Step 2: Convert to fraction form
    557,213.94/768,958.38 = 302,565.20/x
  3. Step 3: Cross multiply
    557,213.94x = 768,958.38 × 302,565.20
  4. Step 4: Simplify right side
    557,213.94x = 232,660,042,191.58
  5. Step 5: Solve for x
    x = 232,660,042,191.58/557,213.94
  6. Step 6: Final answer
    x = 417,541.68

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Double scale
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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.