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Finding the Fourth Proportional to 378,642.92, 522,509.64 and 217,384.48

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Solution

The fourth proportional to 378,642.92, 522,509.64 and 217,384.48 is: 299,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,642.92 : 522,509.64 = 217,384.48 : x
  2. Step 2: Convert to fraction form
    378,642.92/522,509.64 = 217,384.48/x
  3. Step 3: Cross multiply
    378,642.92x = 522,509.64 × 217,384.48
  4. Step 4: Simplify right side
    378,642.92x = 113,585,486,386.39
  5. Step 5: Solve for x
    x = 113,585,486,386.39/378,642.92
  6. Step 6: Final answer
    x = 299,980.48

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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.