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Finding the Fourth Proportional to 306,031.20, 459,046.80 and 212,719.20

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Solution

The fourth proportional to 306,031.20, 459,046.80 and 212,719.20 is: 319,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,031.20 : 459,046.80 = 212,719.20 : x
  2. Step 2: Convert to fraction form
    306,031.20/459,046.80 = 212,719.20/x
  3. Step 3: Cross multiply
    306,031.20x = 459,046.80 × 212,719.20
  4. Step 4: Simplify right side
    306,031.20x = 97,648,068,058.56
  5. Step 5: Solve for x
    x = 97,648,068,058.56/306,031.20
  6. Step 6: Final answer
    x = 319,078.80

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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.