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Finding the Fourth Proportional to 231,482.70, 346,827.20 and 155,438.70

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Solution

The fourth proportional to 231,482.70, 346,827.20 and 155,438.70 is: 232,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,482.70 : 346,827.20 = 155,438.70 : x
  2. Step 2: Convert to fraction form
    231,482.70/346,827.20 = 155,438.70/x
  3. Step 3: Cross multiply
    231,482.70x = 346,827.20 × 155,438.70
  4. Step 4: Simplify right side
    231,482.70x = 53,910,369,092.64
  5. Step 5: Solve for x
    x = 53,910,369,092.64/231,482.70
  6. Step 6: Final answer
    x = 232,891.57

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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.