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Finding the Fourth Proportional to 820,924.64, 1,132,989.30 and 458,372

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Solution

The fourth proportional to 820,924.64, 1,132,989.30 and 458,372 is: 632,616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,924.64 : 1,132,989.30 = 458,372 : x
  2. Step 2: Convert to fraction form
    820,924.64/1,132,989.30 = 458,372/x
  3. Step 3: Cross multiply
    820,924.64x = 1,132,989.30 × 458,372
  4. Step 4: Simplify right side
    820,924.64x = 519,330,571,419.60
  5. Step 5: Solve for x
    x = 519,330,571,419.60/820,924.64
  6. Step 6: Final answer
    x = 632,616.62

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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.