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Finding the Fourth Proportional to 306,243.81, 459,458.96 and 156,589.22

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Solution

The fourth proportional to 306,243.81, 459,458.96 and 156,589.22 is: 234,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,243.81 : 459,458.96 = 156,589.22 : x
  2. Step 2: Convert to fraction form
    306,243.81/459,458.96 = 156,589.22/x
  3. Step 3: Cross multiply
    306,243.81x = 459,458.96 × 156,589.22
  4. Step 4: Simplify right side
    306,243.81x = 71,946,320,168.41
  5. Step 5: Solve for x
    x = 71,946,320,168.41/306,243.81
  6. Step 6: Final answer
    x = 234,931.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.