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Finding the Fourth Proportional to 489,691.51, 676,042.43 and 342,742.54

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Solution

The fourth proportional to 489,691.51, 676,042.43 and 342,742.54 is: 473,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,691.51 : 676,042.43 = 342,742.54 : x
  2. Step 2: Convert to fraction form
    489,691.51/676,042.43 = 342,742.54/x
  3. Step 3: Cross multiply
    489,691.51x = 676,042.43 × 342,742.54
  4. Step 4: Simplify right side
    489,691.51x = 231,708,498,704.82
  5. Step 5: Solve for x
    x = 231,708,498,704.82/489,691.51
  6. Step 6: Final answer
    x = 473,172.38

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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.