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Finding the Fourth Proportional to 306,613.71, 459,885.51 and 81,991.65

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Solution

The fourth proportional to 306,613.71, 459,885.51 and 81,991.65 is: 122,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,613.71 : 459,885.51 = 81,991.65 : x
  2. Step 2: Convert to fraction form
    306,613.71/459,885.51 = 81,991.65/x
  3. Step 3: Cross multiply
    306,613.71x = 459,885.51 × 81,991.65
  4. Step 4: Simplify right side
    306,613.71x = 37,706,771,775.99
  5. Step 5: Solve for x
    x = 37,706,771,775.99/306,613.71
  6. Step 6: Final answer
    x = 122,978.10

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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.