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Finding the Fourth Proportional to 378,341.66, 522,115.06 and 208,581.86

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Solution

The fourth proportional to 378,341.66, 522,115.06 and 208,581.86 is: 287,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,341.66 : 522,115.06 = 208,581.86 : x
  2. Step 2: Convert to fraction form
    378,341.66/522,115.06 = 208,581.86/x
  3. Step 3: Cross multiply
    378,341.66x = 522,115.06 × 208,581.86
  4. Step 4: Simplify right side
    378,341.66x = 108,903,730,348.81
  5. Step 5: Solve for x
    x = 108,903,730,348.81/378,341.66
  6. Step 6: Final answer
    x = 287,844.93

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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.