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Finding the Fourth Proportional to 378,101.49, 521,776.80 and 208,334.40

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Solution

The fourth proportional to 378,101.49, 521,776.80 and 208,334.40 is: 287,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,101.49 : 521,776.80 = 208,334.40 : x
  2. Step 2: Convert to fraction form
    378,101.49/521,776.80 = 208,334.40/x
  3. Step 3: Cross multiply
    378,101.49x = 521,776.80 × 208,334.40
  4. Step 4: Simplify right side
    378,101.49x = 108,704,056,561.92
  5. Step 5: Solve for x
    x = 108,704,056,561.92/378,101.49
  6. Step 6: Final answer
    x = 287,499.68

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1.5x scale

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.