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Finding the Fourth Proportional to 531,215.25, 796,978.94 and 157,247.97

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Solution

The fourth proportional to 531,215.25, 796,978.94 and 157,247.97 is: 235,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,215.25 : 796,978.94 = 157,247.97 : x
  2. Step 2: Convert to fraction form
    531,215.25/796,978.94 = 157,247.97/x
  3. Step 3: Cross multiply
    531,215.25x = 796,978.94 × 157,247.97
  4. Step 4: Simplify right side
    531,215.25x = 125,323,319,661.51
  5. Step 5: Solve for x
    x = 125,323,319,661.51/531,215.25
  6. Step 6: Final answer
    x = 235,918.15

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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.