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Finding the Fourth Proportional to 642,695.15, 964,046.15 and 193,412.94

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Solution

The fourth proportional to 642,695.15, 964,046.15 and 193,412.94 is: 290,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,695.15 : 964,046.15 = 193,412.94 : x
  2. Step 2: Convert to fraction form
    642,695.15/964,046.15 = 193,412.94/x
  3. Step 3: Cross multiply
    642,695.15x = 964,046.15 × 193,412.94
  4. Step 4: Simplify right side
    642,695.15x = 186,458,999,200.12
  5. Step 5: Solve for x
    x = 186,458,999,200.12/642,695.15
  6. Step 6: Final answer
    x = 290,120.44

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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.