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Finding the Fourth Proportional to 458,030.67, 686,768.97 and 205,264.50

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Solution

The fourth proportional to 458,030.67, 686,768.97 and 205,264.50 is: 307,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,030.67 : 686,768.97 = 205,264.50 : x
  2. Step 2: Convert to fraction form
    458,030.67/686,768.97 = 205,264.50/x
  3. Step 3: Cross multiply
    458,030.67x = 686,768.97 × 205,264.50
  4. Step 4: Simplify right side
    458,030.67x = 140,969,289,242.57
  5. Step 5: Solve for x
    x = 140,969,289,242.57/458,030.67
  6. Step 6: Final answer
    x = 307,772.60

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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.