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Finding the Fourth Proportional to 285,643, 394,200.21 and 158,310.46

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Solution

The fourth proportional to 285,643, 394,200.21 and 158,310.46 is: 218,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,643 : 394,200.21 = 158,310.46 : x
  2. Step 2: Convert to fraction form
    285,643/394,200.21 = 158,310.46/x
  3. Step 3: Cross multiply
    285,643x = 394,200.21 × 158,310.46
  4. Step 4: Simplify right side
    285,643x = 62,406,016,577.20
  5. Step 5: Solve for x
    x = 62,406,016,577.20/285,643
  6. Step 6: Final answer
    x = 218,475.57

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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.