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Finding the Fourth Proportional to 343,707.66, 515,438.47 and 119,007.77

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Solution

The fourth proportional to 343,707.66, 515,438.47 and 119,007.77 is: 178,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,707.66 : 515,438.47 = 119,007.77 : x
  2. Step 2: Convert to fraction form
    343,707.66/515,438.47 = 119,007.77/x
  3. Step 3: Cross multiply
    343,707.66x = 515,438.47 × 119,007.77
  4. Step 4: Simplify right side
    343,707.66x = 61,341,180,458.48
  5. Step 5: Solve for x
    x = 61,341,180,458.48/343,707.66
  6. Step 6: Final answer
    x = 178,469.05

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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.