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Finding the Fourth Proportional to 331,014.52, 456,798.78 and 187,802.20

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Solution

The fourth proportional to 331,014.52, 456,798.78 and 187,802.20 is: 259,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,014.52 : 456,798.78 = 187,802.20 : x
  2. Step 2: Convert to fraction form
    331,014.52/456,798.78 = 187,802.20/x
  3. Step 3: Cross multiply
    331,014.52x = 456,798.78 × 187,802.20
  4. Step 4: Simplify right side
    331,014.52x = 85,787,815,841.32
  5. Step 5: Solve for x
    x = 85,787,815,841.32/331,014.52
  6. Step 6: Final answer
    x = 259,166.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.