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Finding the Fourth Proportional to 820,377.66, 1,132,119 and 457,797.66

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Solution

The fourth proportional to 820,377.66, 1,132,119 and 457,797.66 is: 631,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,377.66 : 1,132,119 = 457,797.66 : x
  2. Step 2: Convert to fraction form
    820,377.66/1,132,119 = 457,797.66/x
  3. Step 3: Cross multiply
    820,377.66x = 1,132,119 × 457,797.66
  4. Step 4: Simplify right side
    820,377.66x = 518,281,429,041.54
  5. Step 5: Solve for x
    x = 518,281,429,041.54/820,377.66
  6. Step 6: Final answer
    x = 631,759.56

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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.