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Finding the Fourth Proportional to 378,170.50, 521,875.29 and 208,404.63

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Solution

The fourth proportional to 378,170.50, 521,875.29 and 208,404.63 is: 287,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,170.50 : 521,875.29 = 208,404.63 : x
  2. Step 2: Convert to fraction form
    378,170.50/521,875.29 = 208,404.63/x
  3. Step 3: Cross multiply
    378,170.50x = 521,875.29 × 208,404.63
  4. Step 4: Simplify right side
    378,170.50x = 108,761,226,718.59
  5. Step 5: Solve for x
    x = 108,761,226,718.59/378,170.50
  6. Step 6: Final answer
    x = 287,598.39

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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.