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Finding the Fourth Proportional to 485,843.76, 670,117.32 and 421,197.44

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Solution

The fourth proportional to 485,843.76, 670,117.32 and 421,197.44 is: 580,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,843.76 : 670,117.32 = 421,197.44 : x
  2. Step 2: Convert to fraction form
    485,843.76/670,117.32 = 421,197.44/x
  3. Step 3: Cross multiply
    485,843.76x = 670,117.32 × 421,197.44
  4. Step 4: Simplify right side
    485,843.76x = 282,251,696,333.07
  5. Step 5: Solve for x
    x = 282,251,696,333.07/485,843.76
  6. Step 6: Final answer
    x = 580,951.57

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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.