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Finding the Fourth Proportional to 312,493.36, 468,665.70 and 134,903.20

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Solution

The fourth proportional to 312,493.36, 468,665.70 and 134,903.20 is: 202,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,493.36 : 468,665.70 = 134,903.20 : x
  2. Step 2: Convert to fraction form
    312,493.36/468,665.70 = 134,903.20/x
  3. Step 3: Cross multiply
    312,493.36x = 468,665.70 × 134,903.20
  4. Step 4: Simplify right side
    312,493.36x = 63,224,502,660.24
  5. Step 5: Solve for x
    x = 63,224,502,660.24/312,493.36
  6. Step 6: Final answer
    x = 202,322.71

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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.