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Finding the Fourth Proportional to 538,910.49, 743,686.12 and 297,215.40

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Solution

The fourth proportional to 538,910.49, 743,686.12 and 297,215.40 is: 410,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,910.49 : 743,686.12 = 297,215.40 : x
  2. Step 2: Convert to fraction form
    538,910.49/743,686.12 = 297,215.40/x
  3. Step 3: Cross multiply
    538,910.49x = 743,686.12 × 297,215.40
  4. Step 4: Simplify right side
    538,910.49x = 221,034,967,630.25
  5. Step 5: Solve for x
    x = 221,034,967,630.25/538,910.49
  6. Step 6: Final answer
    x = 410,151.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.