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Finding the Fourth Proportional to 489,083.52, 675,055.20 and 298,202.08

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Solution

The fourth proportional to 489,083.52, 675,055.20 and 298,202.08 is: 411,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,083.52 : 675,055.20 = 298,202.08 : x
  2. Step 2: Convert to fraction form
    489,083.52/675,055.20 = 298,202.08/x
  3. Step 3: Cross multiply
    489,083.52x = 675,055.20 × 298,202.08
  4. Step 4: Simplify right side
    489,083.52x = 201,302,864,754.82
  5. Step 5: Solve for x
    x = 201,302,864,754.82/489,083.52
  6. Step 6: Final answer
    x = 411,592.00

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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.