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Finding the Fourth Proportional to 306,647.08, 459,938.26 and 82,030.18

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Solution

The fourth proportional to 306,647.08, 459,938.26 and 82,030.18 is: 123,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,647.08 : 459,938.26 = 82,030.18 : x
  2. Step 2: Convert to fraction form
    306,647.08/459,938.26 = 82,030.18/x
  3. Step 3: Cross multiply
    306,647.08x = 459,938.26 × 82,030.18
  4. Step 4: Simplify right side
    306,647.08x = 37,728,818,256.69
  5. Step 5: Solve for x
    x = 37,728,818,256.69/306,647.08
  6. Step 6: Final answer
    x = 123,036.61

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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.