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Finding the Fourth Proportional to 489,233.22, 675,215.64 and 298,357.32

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Solution

The fourth proportional to 489,233.22, 675,215.64 and 298,357.32 is: 411,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,233.22 : 675,215.64 = 298,357.32 : x
  2. Step 2: Convert to fraction form
    489,233.22/675,215.64 = 298,357.32/x
  3. Step 3: Cross multiply
    489,233.22x = 675,215.64 × 298,357.32
  4. Step 4: Simplify right side
    489,233.22x = 201,455,528,772.49
  5. Step 5: Solve for x
    x = 201,455,528,772.49/489,233.22
  6. Step 6: Final answer
    x = 411,778.11

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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.