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Finding the Fourth Proportional to 493,657.44, 740,514.86 and 138,699.18

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Solution

The fourth proportional to 493,657.44, 740,514.86 and 138,699.18 is: 208,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,657.44 : 740,514.86 = 138,699.18 : x
  2. Step 2: Convert to fraction form
    493,657.44/740,514.86 = 138,699.18/x
  3. Step 3: Cross multiply
    493,657.44x = 740,514.86 × 138,699.18
  4. Step 4: Simplify right side
    493,657.44x = 102,708,803,166.32
  5. Step 5: Solve for x
    x = 102,708,803,166.32/493,657.44
  6. Step 6: Final answer
    x = 208,056.83

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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.