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Finding the Fourth Proportional to 285,785.41, 394,389.29 and 156,716.20

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Solution

The fourth proportional to 285,785.41, 394,389.29 and 156,716.20 is: 216,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,785.41 : 394,389.29 = 156,716.20 : x
  2. Step 2: Convert to fraction form
    285,785.41/394,389.29 = 156,716.20/x
  3. Step 3: Cross multiply
    285,785.41x = 394,389.29 × 156,716.20
  4. Step 4: Simplify right side
    285,785.41x = 61,807,193,369.10
  5. Step 5: Solve for x
    x = 61,807,193,369.10/285,785.41
  6. Step 6: Final answer
    x = 216,271.34

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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.