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Finding the Fourth Proportional to 458,264.94, 687,389.85 and 188,338.38

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Solution

The fourth proportional to 458,264.94, 687,389.85 and 188,338.38 is: 282,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,264.94 : 687,389.85 = 188,338.38 : x
  2. Step 2: Convert to fraction form
    458,264.94/687,389.85 = 188,338.38/x
  3. Step 3: Cross multiply
    458,264.94x = 687,389.85 × 188,338.38
  4. Step 4: Simplify right side
    458,264.94x = 129,461,890,777.44
  5. Step 5: Solve for x
    x = 129,461,890,777.44/458,264.94
  6. Step 6: Final answer
    x = 282,504.46

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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.