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Finding the Fourth Proportional to 380,193.68, 524,658.84 and 208,111.52

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Solution

The fourth proportional to 380,193.68, 524,658.84 and 208,111.52 is: 287,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,193.68 : 524,658.84 = 208,111.52 : x
  2. Step 2: Convert to fraction form
    380,193.68/524,658.84 = 208,111.52/x
  3. Step 3: Cross multiply
    380,193.68x = 524,658.84 × 208,111.52
  4. Step 4: Simplify right side
    380,193.68x = 109,187,548,673.84
  5. Step 5: Solve for x
    x = 109,187,548,673.84/380,193.68
  6. Step 6: Final answer
    x = 287,189.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.