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Finding the Fourth Proportional to 306,648.08, 459,939.76 and 82,031.18

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Solution

The fourth proportional to 306,648.08, 459,939.76 and 82,031.18 is: 123,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,648.08 : 459,939.76 = 82,031.18 : x
  2. Step 2: Convert to fraction form
    306,648.08/459,939.76 = 82,031.18/x
  3. Step 3: Cross multiply
    306,648.08x = 459,939.76 × 82,031.18
  4. Step 4: Simplify right side
    306,648.08x = 37,729,401,241.72
  5. Step 5: Solve for x
    x = 37,729,401,241.72/306,648.08
  6. Step 6: Final answer
    x = 123,038.11

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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.