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Finding the Fourth Proportional to 675,768.21, 932,468.01 and 403,778.61

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Solution

The fourth proportional to 675,768.21, 932,468.01 and 403,778.61 is: 557,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,768.21 : 932,468.01 = 403,778.61 : x
  2. Step 2: Convert to fraction form
    675,768.21/932,468.01 = 403,778.61/x
  3. Step 3: Cross multiply
    675,768.21x = 932,468.01 × 403,778.61
  4. Step 4: Simplify right side
    675,768.21x = 376,510,636,947.27
  5. Step 5: Solve for x
    x = 376,510,636,947.27/675,768.21
  6. Step 6: Final answer
    x = 557,159.44

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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.