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Finding the Fourth Proportional to 309,099.52, 426,491.76 and 181,728.64

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Solution

The fourth proportional to 309,099.52, 426,491.76 and 181,728.64 is: 250,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,099.52 : 426,491.76 = 181,728.64 : x
  2. Step 2: Convert to fraction form
    309,099.52/426,491.76 = 181,728.64/x
  3. Step 3: Cross multiply
    309,099.52x = 426,491.76 × 181,728.64
  4. Step 4: Simplify right side
    309,099.52x = 77,505,767,516.01
  5. Step 5: Solve for x
    x = 77,505,767,516.01/309,099.52
  6. Step 6: Final answer
    x = 250,746.97

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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.