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Finding the Fourth Proportional to 493,761.68, 740,526.96 and 138,809.60

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Solution

The fourth proportional to 493,761.68, 740,526.96 and 138,809.60 is: 208,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,761.68 : 740,526.96 = 138,809.60 : x
  2. Step 2: Convert to fraction form
    493,761.68/740,526.96 = 138,809.60/x
  3. Step 3: Cross multiply
    493,761.68x = 740,526.96 × 138,809.60
  4. Step 4: Simplify right side
    493,761.68x = 102,792,251,106.82
  5. Step 5: Solve for x
    x = 102,792,251,106.82/493,761.68
  6. Step 6: Final answer
    x = 208,181.91

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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.