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Finding the Fourth Proportional to 343,709.10, 515,440.62 and 119,009.22

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Solution

The fourth proportional to 343,709.10, 515,440.62 and 119,009.22 is: 178,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,709.10 : 515,440.62 = 119,009.22 : x
  2. Step 2: Convert to fraction form
    343,709.10/515,440.62 = 119,009.22/x
  3. Step 3: Cross multiply
    343,709.10x = 515,440.62 × 119,009.22
  4. Step 4: Simplify right side
    343,709.10x = 61,342,186,142.52
  5. Step 5: Solve for x
    x = 61,342,186,142.52/343,709.10
  6. Step 6: Final answer
    x = 178,471.23

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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.