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Finding the Fourth Proportional to 344,255.80, 516,383.70 and 307,514.20

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Solution

The fourth proportional to 344,255.80, 516,383.70 and 307,514.20 is: 461,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,255.80 : 516,383.70 = 307,514.20 : x
  2. Step 2: Convert to fraction form
    344,255.80/516,383.70 = 307,514.20/x
  3. Step 3: Cross multiply
    344,255.80x = 516,383.70 × 307,514.20
  4. Step 4: Simplify right side
    344,255.80x = 158,795,320,398.54
  5. Step 5: Solve for x
    x = 158,795,320,398.54/344,255.80
  6. Step 6: Final answer
    x = 461,271.30

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1.5x scale

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.