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Finding the Fourth Proportional to 642,907.22, 964,360.76 and 216,407.25

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Solution

The fourth proportional to 642,907.22, 964,360.76 and 216,407.25 is: 324,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,907.22 : 964,360.76 = 216,407.25 : x
  2. Step 2: Convert to fraction form
    642,907.22/964,360.76 = 216,407.25/x
  3. Step 3: Cross multiply
    642,907.22x = 964,360.76 × 216,407.25
  4. Step 4: Simplify right side
    642,907.22x = 208,694,658,997.47
  5. Step 5: Solve for x
    x = 208,694,658,997.47/642,907.22
  6. Step 6: Final answer
    x = 324,610.85

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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.