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Finding the Fourth Proportional to 458,799.84, 687,423 and 280,935.36

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Solution

The fourth proportional to 458,799.84, 687,423 and 280,935.36 is: 420,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,799.84 : 687,423 = 280,935.36 : x
  2. Step 2: Convert to fraction form
    458,799.84/687,423 = 280,935.36/x
  3. Step 3: Cross multiply
    458,799.84x = 687,423 × 280,935.36
  4. Step 4: Simplify right side
    458,799.84x = 193,121,427,977.28
  5. Step 5: Solve for x
    x = 193,121,427,977.28/458,799.84
  6. Step 6: Final answer
    x = 420,927.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.