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Finding the Fourth Proportional to 882,235, 1,217,481.74 and 489,827.86

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Solution

The fourth proportional to 882,235, 1,217,481.74 and 489,827.86 is: 675,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,235 : 1,217,481.74 = 489,827.86 : x
  2. Step 2: Convert to fraction form
    882,235/1,217,481.74 = 489,827.86/x
  3. Step 3: Cross multiply
    882,235x = 1,217,481.74 × 489,827.86
  4. Step 4: Simplify right side
    882,235x = 596,356,475,293.28
  5. Step 5: Solve for x
    x = 596,356,475,293.28/882,235
  6. Step 6: Final answer
    x = 675,961.03

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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.