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Finding the Fourth Proportional to 311,830.80, 467,795.21 and 101,419.53

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Solution

The fourth proportional to 311,830.80, 467,795.21 and 101,419.53 is: 152,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,830.80 : 467,795.21 = 101,419.53 : x
  2. Step 2: Convert to fraction form
    311,830.80/467,795.21 = 101,419.53/x
  3. Step 3: Cross multiply
    311,830.80x = 467,795.21 × 101,419.53
  4. Step 4: Simplify right side
    311,830.80x = 47,443,569,827.35
  5. Step 5: Solve for x
    x = 47,443,569,827.35/311,830.80
  6. Step 6: Final answer
    x = 152,145.23

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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.