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Finding the Fourth Proportional to 312,471.66, 468,731.80 and 102,130.86

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Solution

The fourth proportional to 312,471.66, 468,731.80 and 102,130.86 is: 153,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,471.66 : 468,731.80 = 102,130.86 : x
  2. Step 2: Convert to fraction form
    312,471.66/468,731.80 = 102,130.86/x
  3. Step 3: Cross multiply
    312,471.66x = 468,731.80 × 102,130.86
  4. Step 4: Simplify right side
    312,471.66x = 47,871,981,843.35
  5. Step 5: Solve for x
    x = 47,871,981,843.35/312,471.66
  6. Step 6: Final answer
    x = 153,204.24

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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.