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Finding the Fourth Proportional to 489,842.50, 676,301.44 and 298,966.54

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Solution

The fourth proportional to 489,842.50, 676,301.44 and 298,966.54 is: 412,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,842.50 : 676,301.44 = 298,966.54 : x
  2. Step 2: Convert to fraction form
    489,842.50/676,301.44 = 298,966.54/x
  3. Step 3: Cross multiply
    489,842.50x = 676,301.44 × 298,966.54
  4. Step 4: Simplify right side
    489,842.50x = 202,191,501,513.82
  5. Step 5: Solve for x
    x = 202,191,501,513.82/489,842.50
  6. Step 6: Final answer
    x = 412,768.39

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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.