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Finding the Fourth Proportional to 343,696.64, 515,420.96 and 118,996.16

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Solution

The fourth proportional to 343,696.64, 515,420.96 and 118,996.16 is: 178,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,696.64 : 515,420.96 = 118,996.16 : x
  2. Step 2: Convert to fraction form
    343,696.64/515,420.96 = 118,996.16/x
  3. Step 3: Cross multiply
    343,696.64x = 515,420.96 × 118,996.16
  4. Step 4: Simplify right side
    343,696.64x = 61,333,115,023.51
  5. Step 5: Solve for x
    x = 61,333,115,023.51/343,696.64
  6. Step 6: Final answer
    x = 178,451.31

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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.