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Finding the Fourth Proportional to 378,064.76, 521,729.40 and 208,302.52

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Solution

The fourth proportional to 378,064.76, 521,729.40 and 208,302.52 is: 287,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,064.76 : 521,729.40 = 208,302.52 : x
  2. Step 2: Convert to fraction form
    378,064.76/521,729.40 = 208,302.52/x
  3. Step 3: Cross multiply
    378,064.76x = 521,729.40 × 208,302.52
  4. Step 4: Simplify right side
    378,064.76x = 108,677,548,778.09
  5. Step 5: Solve for x
    x = 108,677,548,778.09/378,064.76
  6. Step 6: Final answer
    x = 287,457.49

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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.