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Finding the Fourth Proportional to 212,374.91, 318,188.62 and 199,732.46

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Solution

The fourth proportional to 212,374.91, 318,188.62 and 199,732.46 is: 299,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,374.91 : 318,188.62 = 199,732.46 : x
  2. Step 2: Convert to fraction form
    212,374.91/318,188.62 = 199,732.46/x
  3. Step 3: Cross multiply
    212,374.91x = 318,188.62 × 199,732.46
  4. Step 4: Simplify right side
    212,374.91x = 63,552,596,639.64
  5. Step 5: Solve for x
    x = 63,552,596,639.64/212,374.91
  6. Step 6: Final answer
    x = 299,247.19

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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.