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Finding the Fourth Proportional to 306,500.42, 459,790.80 and 101,266.90

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Solution

The fourth proportional to 306,500.42, 459,790.80 and 101,266.90 is: 151,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,500.42 : 459,790.80 = 101,266.90 : x
  2. Step 2: Convert to fraction form
    306,500.42/459,790.80 = 101,266.90/x
  3. Step 3: Cross multiply
    306,500.42x = 459,790.80 × 101,266.90
  4. Step 4: Simplify right side
    306,500.42x = 46,561,588,964.52
  5. Step 5: Solve for x
    x = 46,561,588,964.52/306,500.42
  6. Step 6: Final answer
    x = 151,913.62

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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.