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Finding the Fourth Proportional to 819,504, 1,229,463.36 and 228,528

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Solution

The fourth proportional to 819,504, 1,229,463.36 and 228,528 is: 342,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,504 : 1,229,463.36 = 228,528 : x
  2. Step 2: Convert to fraction form
    819,504/1,229,463.36 = 228,528/x
  3. Step 3: Cross multiply
    819,504x = 1,229,463.36 × 228,528
  4. Step 4: Simplify right side
    819,504x = 280,966,802,734.08
  5. Step 5: Solve for x
    x = 280,966,802,734.08/819,504
  6. Step 6: Final answer
    x = 342,849.82

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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.