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Finding the Fourth Proportional to 521,047.53, 781,162.98 and 205,740.45

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Solution

The fourth proportional to 521,047.53, 781,162.98 and 205,740.45 is: 308,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,047.53 : 781,162.98 = 205,740.45 : x
  2. Step 2: Convert to fraction form
    521,047.53/781,162.98 = 205,740.45/x
  3. Step 3: Cross multiply
    521,047.53x = 781,162.98 × 205,740.45
  4. Step 4: Simplify right side
    521,047.53x = 160,716,823,028.54
  5. Step 5: Solve for x
    x = 160,716,823,028.54/521,047.53
  6. Step 6: Final answer
    x = 308,449.45

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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.