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Finding the Fourth Proportional to 298,809.58, 412,345.19 and 162,840.61

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Solution

The fourth proportional to 298,809.58, 412,345.19 and 162,840.61 is: 224,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809.58 : 412,345.19 = 162,840.61 : x
  2. Step 2: Convert to fraction form
    298,809.58/412,345.19 = 162,840.61/x
  3. Step 3: Cross multiply
    298,809.58x = 412,345.19 × 162,840.61
  4. Step 4: Simplify right side
    298,809.58x = 67,146,541,551.18
  5. Step 5: Solve for x
    x = 67,146,541,551.18/298,809.58
  6. Step 6: Final answer
    x = 224,713.48

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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.