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Finding the Fourth Proportional to 663,099, 915,076.64 and 361,293

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Solution

The fourth proportional to 663,099, 915,076.64 and 361,293 is: 498,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,099 : 915,076.64 = 361,293 : x
  2. Step 2: Convert to fraction form
    663,099/915,076.64 = 361,293/x
  3. Step 3: Cross multiply
    663,099x = 915,076.64 × 361,293
  4. Step 4: Simplify right side
    663,099x = 330,610,784,495.52
  5. Step 5: Solve for x
    x = 330,610,784,495.52/663,099
  6. Step 6: Final answer
    x = 498,584.35

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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.