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Finding the Fourth Proportional to 458,468.70, 687,703.05 and 271,383.90

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Solution

The fourth proportional to 458,468.70, 687,703.05 and 271,383.90 is: 407,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,468.70 : 687,703.05 = 271,383.90 : x
  2. Step 2: Convert to fraction form
    458,468.70/687,703.05 = 271,383.90/x
  3. Step 3: Cross multiply
    458,468.70x = 687,703.05 × 271,383.90
  4. Step 4: Simplify right side
    458,468.70x = 186,631,535,750.90
  5. Step 5: Solve for x
    x = 186,631,535,750.90/458,468.70
  6. Step 6: Final answer
    x = 407,075.85

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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.