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Finding the Fourth Proportional to 513,657.72, 709,022.55 and 298,978.14

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Solution

The fourth proportional to 513,657.72, 709,022.55 and 298,978.14 is: 412,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,657.72 : 709,022.55 = 298,978.14 : x
  2. Step 2: Convert to fraction form
    513,657.72/709,022.55 = 298,978.14/x
  3. Step 3: Cross multiply
    513,657.72x = 709,022.55 × 298,978.14
  4. Step 4: Simplify right side
    513,657.72x = 211,982,243,217.06
  5. Step 5: Solve for x
    x = 211,982,243,217.06/513,657.72
  6. Step 6: Final answer
    x = 412,691.63

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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.