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Finding the Fourth Proportional to 378,746.65, 522,681.24 and 208,991.71

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Solution

The fourth proportional to 378,746.65, 522,681.24 and 208,991.71 is: 288,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,746.65 : 522,681.24 = 208,991.71 : x
  2. Step 2: Convert to fraction form
    378,746.65/522,681.24 = 208,991.71/x
  3. Step 3: Cross multiply
    378,746.65x = 522,681.24 × 208,991.71
  4. Step 4: Simplify right side
    378,746.65x = 109,236,046,132.52
  5. Step 5: Solve for x
    x = 109,236,046,132.52/378,746.65
  6. Step 6: Final answer
    x = 288,414.55

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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.