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Finding the Fourth Proportional to 458,701.11, 687,470.40 and 259,133.94

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Solution

The fourth proportional to 458,701.11, 687,470.40 and 259,133.94 is: 388,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,701.11 : 687,470.40 = 259,133.94 : x
  2. Step 2: Convert to fraction form
    458,701.11/687,470.40 = 259,133.94/x
  3. Step 3: Cross multiply
    458,701.11x = 687,470.40 × 259,133.94
  4. Step 4: Simplify right side
    458,701.11x = 178,146,913,385.38
  5. Step 5: Solve for x
    x = 178,146,913,385.38/458,701.11
  6. Step 6: Final answer
    x = 388,372.54

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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.