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Finding the Fourth Proportional to 489,843, 676,302.12 and 298,967.04

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Solution

The fourth proportional to 489,843, 676,302.12 and 298,967.04 is: 412,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,843 : 676,302.12 = 298,967.04 : x
  2. Step 2: Convert to fraction form
    489,843/676,302.12 = 298,967.04/x
  3. Step 3: Cross multiply
    489,843x = 676,302.12 × 298,967.04
  4. Step 4: Simplify right side
    489,843x = 202,192,042,962.13
  5. Step 5: Solve for x
    x = 202,192,042,962.13/489,843
  6. Step 6: Final answer
    x = 412,769.08

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1.5x scale

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.