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Finding the Fourth Proportional to 680,980.50, 1,021,468 and 207,664.50

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Solution

The fourth proportional to 680,980.50, 1,021,468 and 207,664.50 is: 311,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,980.50 : 1,021,468 = 207,664.50 : x
  2. Step 2: Convert to fraction form
    680,980.50/1,021,468 = 207,664.50/x
  3. Step 3: Cross multiply
    680,980.50x = 1,021,468 × 207,664.50
  4. Step 4: Simplify right side
    680,980.50x = 212,122,641,486
  5. Step 5: Solve for x
    x = 212,122,641,486/680,980.50
  6. Step 6: Final answer
    x = 311,495.91

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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.