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Finding the Fourth Proportional to 354,749.52, 532,212.60 and 105,424.72

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Solution

The fourth proportional to 354,749.52, 532,212.60 and 105,424.72 is: 158,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,749.52 : 532,212.60 = 105,424.72 : x
  2. Step 2: Convert to fraction form
    354,749.52/532,212.60 = 105,424.72/x
  3. Step 3: Cross multiply
    354,749.52x = 532,212.60 × 105,424.72
  4. Step 4: Simplify right side
    354,749.52x = 56,108,364,335.47
  5. Step 5: Solve for x
    x = 56,108,364,335.47/354,749.52
  6. Step 6: Final answer
    x = 158,163.33

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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.