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Finding the Fourth Proportional to 718,302.66, 991,257.34 and 412,398.78

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Solution

The fourth proportional to 718,302.66, 991,257.34 and 412,398.78 is: 569,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,302.66 : 991,257.34 = 412,398.78 : x
  2. Step 2: Convert to fraction form
    718,302.66/991,257.34 = 412,398.78/x
  3. Step 3: Cross multiply
    718,302.66x = 991,257.34 × 412,398.78
  4. Step 4: Simplify right side
    718,302.66x = 408,793,317,682.05
  5. Step 5: Solve for x
    x = 408,793,317,682.05/718,302.66
  6. Step 6: Final answer
    x = 569,110.13

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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.