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Finding the Fourth Proportional to 311,319.80, 466,979.70 and 205,031.60

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Solution

The fourth proportional to 311,319.80, 466,979.70 and 205,031.60 is: 307,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,319.80 : 466,979.70 = 205,031.60 : x
  2. Step 2: Convert to fraction form
    311,319.80/466,979.70 = 205,031.60/x
  3. Step 3: Cross multiply
    311,319.80x = 466,979.70 × 205,031.60
  4. Step 4: Simplify right side
    311,319.80x = 95,745,595,058.52
  5. Step 5: Solve for x
    x = 95,745,595,058.52/311,319.80
  6. Step 6: Final answer
    x = 307,547.40

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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.