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Finding the Fourth Proportional to 306,642.89, 459,931.98 and 82,026

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Solution

The fourth proportional to 306,642.89, 459,931.98 and 82,026 is: 123,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642.89 : 459,931.98 = 82,026 : x
  2. Step 2: Convert to fraction form
    306,642.89/459,931.98 = 82,026/x
  3. Step 3: Cross multiply
    306,642.89x = 459,931.98 × 82,026
  4. Step 4: Simplify right side
    306,642.89x = 37,726,380,899.08
  5. Step 5: Solve for x
    x = 37,726,380,899.08/306,642.89
  6. Step 6: Final answer
    x = 123,030.35

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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.