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Finding the Fourth Proportional to 285,728.40, 394,309.98 and 156,664.20

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Solution

The fourth proportional to 285,728.40, 394,309.98 and 156,664.20 is: 216,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,728.40 : 394,309.98 = 156,664.20 : x
  2. Step 2: Convert to fraction form
    285,728.40/394,309.98 = 156,664.20/x
  3. Step 3: Cross multiply
    285,728.40x = 394,309.98 × 156,664.20
  4. Step 4: Simplify right side
    285,728.40x = 61,774,257,568.72
  5. Step 5: Solve for x
    x = 61,774,257,568.72/285,728.40
  6. Step 6: Final answer
    x = 216,199.22

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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.