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Finding the Fourth Proportional to 309,425.70, 463,360.95 and 247,217.70

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Solution

The fourth proportional to 309,425.70, 463,360.95 and 247,217.70 is: 370,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,425.70 : 463,360.95 = 247,217.70 : x
  2. Step 2: Convert to fraction form
    309,425.70/463,360.95 = 247,217.70/x
  3. Step 3: Cross multiply
    309,425.70x = 463,360.95 × 247,217.70
  4. Step 4: Simplify right side
    309,425.70x = 114,551,028,328.82
  5. Step 5: Solve for x
    x = 114,551,028,328.82/309,425.70
  6. Step 6: Final answer
    x = 370,205.28

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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.