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Finding the Fourth Proportional to 809,224, 1,116,729.12 and 451,528

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Solution

The fourth proportional to 809,224, 1,116,729.12 and 451,528 is: 623,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,224 : 1,116,729.12 = 451,528 : x
  2. Step 2: Convert to fraction form
    809,224/1,116,729.12 = 451,528/x
  3. Step 3: Cross multiply
    809,224x = 1,116,729.12 × 451,528
  4. Step 4: Simplify right side
    809,224x = 504,234,466,095.36
  5. Step 5: Solve for x
    x = 504,234,466,095.36/809,224
  6. Step 6: Final answer
    x = 623,108.64

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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.