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Finding the Fourth Proportional to 306,561.70, 459,842.55 and 212,083.30

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Solution

The fourth proportional to 306,561.70, 459,842.55 and 212,083.30 is: 318,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,561.70 : 459,842.55 = 212,083.30 : x
  2. Step 2: Convert to fraction form
    306,561.70/459,842.55 = 212,083.30/x
  3. Step 3: Cross multiply
    306,561.70x = 459,842.55 × 212,083.30
  4. Step 4: Simplify right side
    306,561.70x = 97,524,925,484.42
  5. Step 5: Solve for x
    x = 97,524,925,484.42/306,561.70
  6. Step 6: Final answer
    x = 318,124.95

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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.