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Finding the Fourth Proportional to 439,208, 658,812 and 139,689.20

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Solution

The fourth proportional to 439,208, 658,812 and 139,689.20 is: 209,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,208 : 658,812 = 139,689.20 : x
  2. Step 2: Convert to fraction form
    439,208/658,812 = 139,689.20/x
  3. Step 3: Cross multiply
    439,208x = 658,812 × 139,689.20
  4. Step 4: Simplify right side
    439,208x = 92,028,921,230.40
  5. Step 5: Solve for x
    x = 92,028,921,230.40/439,208
  6. Step 6: Final answer
    x = 209,533.80

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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.