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Finding the Fourth Proportional to 538,727.81, 743,449.54 and 297,019.05

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Solution

The fourth proportional to 538,727.81, 743,449.54 and 297,019.05 is: 409,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,727.81 : 743,449.54 = 297,019.05 : x
  2. Step 2: Convert to fraction form
    538,727.81/743,449.54 = 297,019.05/x
  3. Step 3: Cross multiply
    538,727.81x = 743,449.54 × 297,019.05
  4. Step 4: Simplify right side
    538,727.81x = 220,818,677,302.07
  5. Step 5: Solve for x
    x = 220,818,677,302.07/538,727.81
  6. Step 6: Final answer
    x = 409,889.14

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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.