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Finding the Fourth Proportional to 331,710.65, 497,423.82 and 154,199.15

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Solution

The fourth proportional to 331,710.65, 497,423.82 and 154,199.15 is: 231,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,710.65 : 497,423.82 = 154,199.15 : x
  2. Step 2: Convert to fraction form
    331,710.65/497,423.82 = 154,199.15/x
  3. Step 3: Cross multiply
    331,710.65x = 497,423.82 × 154,199.15
  4. Step 4: Simplify right side
    331,710.65x = 76,702,330,233.75
  5. Step 5: Solve for x
    x = 76,702,330,233.75/331,710.65
  6. Step 6: Final answer
    x = 231,232.64

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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.