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Finding the Fourth Proportional to 343,711.48, 515,444.19 and 119,011.58

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Solution

The fourth proportional to 343,711.48, 515,444.19 and 119,011.58 is: 178,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,711.48 : 515,444.19 = 119,011.58 : x
  2. Step 2: Convert to fraction form
    343,711.48/515,444.19 = 119,011.58/x
  3. Step 3: Cross multiply
    343,711.48x = 515,444.19 × 119,011.58
  4. Step 4: Simplify right side
    343,711.48x = 61,343,827,453.72
  5. Step 5: Solve for x
    x = 61,343,827,453.72/343,711.48
  6. Step 6: Final answer
    x = 178,474.77

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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.