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Finding the Fourth Proportional to 306,031.14, 459,010.14 and 81,408

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Solution

The fourth proportional to 306,031.14, 459,010.14 and 81,408 is: 122,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031.14 : 459,010.14 = 81,408 : x
  2. Step 2: Convert to fraction form
    306,031.14/459,010.14 = 81,408/x
  3. Step 3: Cross multiply
    306,031.14x = 459,010.14 × 81,408
  4. Step 4: Simplify right side
    306,031.14x = 37,367,097,477.12
  5. Step 5: Solve for x
    x = 37,367,097,477.12/306,031.14
  6. Step 6: Final answer
    x = 122,102.27

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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.