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Finding the Fourth Proportional to 311,832.80, 467,798.21 and 101,421.53

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Solution

The fourth proportional to 311,832.80, 467,798.21 and 101,421.53 is: 152,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,832.80 : 467,798.21 = 101,421.53 : x
  2. Step 2: Convert to fraction form
    311,832.80/467,798.21 = 101,421.53/x
  3. Step 3: Cross multiply
    311,832.80x = 467,798.21 × 101,421.53
  4. Step 4: Simplify right side
    311,832.80x = 47,444,810,189.46
  5. Step 5: Solve for x
    x = 47,444,810,189.46/311,832.80
  6. Step 6: Final answer
    x = 152,148.24

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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.