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Finding the Fourth Proportional to 538,456.20, 743,066.10 and 296,740.68

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Solution

The fourth proportional to 538,456.20, 743,066.10 and 296,740.68 is: 409,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,456.20 : 743,066.10 = 296,740.68 : x
  2. Step 2: Convert to fraction form
    538,456.20/743,066.10 = 296,740.68/x
  3. Step 3: Cross multiply
    538,456.20x = 743,066.10 × 296,740.68
  4. Step 4: Simplify right side
    538,456.20x = 220,497,939,798.95
  5. Step 5: Solve for x
    x = 220,497,939,798.95/538,456.20
  6. Step 6: Final answer
    x = 409,500.23

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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.