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Finding the Fourth Proportional to 493,732.19, 740,625.92 and 138,718.50

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Solution

The fourth proportional to 493,732.19, 740,625.92 and 138,718.50 is: 208,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,732.19 : 740,625.92 = 138,718.50 : x
  2. Step 2: Convert to fraction form
    493,732.19/740,625.92 = 138,718.50/x
  3. Step 3: Cross multiply
    493,732.19x = 740,625.92 × 138,718.50
  4. Step 4: Simplify right side
    493,732.19x = 102,738,515,989.93
  5. Step 5: Solve for x
    x = 102,738,515,989.93/493,732.19
  6. Step 6: Final answer
    x = 208,085.52

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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.