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Finding the Fourth Proportional to 378,176.64, 521,894.70 and 208,421.70

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Solution

The fourth proportional to 378,176.64, 521,894.70 and 208,421.70 is: 287,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,176.64 : 521,894.70 = 208,421.70 : x
  2. Step 2: Convert to fraction form
    378,176.64/521,894.70 = 208,421.70/x
  3. Step 3: Cross multiply
    378,176.64x = 521,894.70 × 208,421.70
  4. Step 4: Simplify right side
    378,176.64x = 108,774,180,594.99
  5. Step 5: Solve for x
    x = 108,774,180,594.99/378,176.64
  6. Step 6: Final answer
    x = 287,627.97

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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.