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Finding the Fourth Proportional to 311,535.78, 467,303.72 and 98,325.25

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Solution

The fourth proportional to 311,535.78, 467,303.72 and 98,325.25 is: 147,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,535.78 : 467,303.72 = 98,325.25 : x
  2. Step 2: Convert to fraction form
    311,535.78/467,303.72 = 98,325.25/x
  3. Step 3: Cross multiply
    311,535.78x = 467,303.72 × 98,325.25
  4. Step 4: Simplify right side
    311,535.78x = 45,947,755,094.93
  5. Step 5: Solve for x
    x = 45,947,755,094.93/311,535.78
  6. Step 6: Final answer
    x = 147,487.89

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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.