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Finding the Fourth Proportional to 765,504, 1,148,497.92 and 344,816.64

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Solution

The fourth proportional to 765,504, 1,148,497.92 and 344,816.64 is: 517,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,504 : 1,148,497.92 = 344,816.64 : x
  2. Step 2: Convert to fraction form
    765,504/1,148,497.92 = 344,816.64/x
  3. Step 3: Cross multiply
    765,504x = 1,148,497.92 × 344,816.64
  4. Step 4: Simplify right side
    765,504x = 396,021,193,821.39
  5. Step 5: Solve for x
    x = 396,021,193,821.39/765,504
  6. Step 6: Final answer
    x = 517,333.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.