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Finding the Fourth Proportional to 820,449, 1,132,276.41 and 457,943.40

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Solution

The fourth proportional to 820,449, 1,132,276.41 and 457,943.40 is: 631,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,449 : 1,132,276.41 = 457,943.40 : x
  2. Step 2: Convert to fraction form
    820,449/1,132,276.41 = 457,943.40/x
  3. Step 3: Cross multiply
    820,449x = 1,132,276.41 × 457,943.40
  4. Step 4: Simplify right side
    820,449x = 518,518,508,935.19
  5. Step 5: Solve for x
    x = 518,518,508,935.19/820,449
  6. Step 6: Final answer
    x = 631,993.59

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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.