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Finding the Fourth Proportional to 820,455, 1,132,284.69 and 457,949.40

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Solution

The fourth proportional to 820,455, 1,132,284.69 and 457,949.40 is: 632,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,455 : 1,132,284.69 = 457,949.40 : x
  2. Step 2: Convert to fraction form
    820,455/1,132,284.69 = 457,949.40/x
  3. Step 3: Cross multiply
    820,455x = 1,132,284.69 × 457,949.40
  4. Step 4: Simplify right side
    820,455x = 518,529,094,414.69
  5. Step 5: Solve for x
    x = 518,529,094,414.69/820,455
  6. Step 6: Final answer
    x = 632,001.87

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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.