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Finding the Fourth Proportional to 393,314.92, 542,774.82 and 223,549

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Solution

The fourth proportional to 393,314.92, 542,774.82 and 223,549 is: 308,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,314.92 : 542,774.82 = 223,549 : x
  2. Step 2: Convert to fraction form
    393,314.92/542,774.82 = 223,549/x
  3. Step 3: Cross multiply
    393,314.92x = 542,774.82 × 223,549
  4. Step 4: Simplify right side
    393,314.92x = 121,336,768,236.18
  5. Step 5: Solve for x
    x = 121,336,768,236.18/393,314.92
  6. Step 6: Final answer
    x = 308,497.75

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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.