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Finding the Fourth Proportional to 493,643.57, 740,494.05 and 138,685.26

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Solution

The fourth proportional to 493,643.57, 740,494.05 and 138,685.26 is: 208,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,643.57 : 740,494.05 = 138,685.26 : x
  2. Step 2: Convert to fraction form
    493,643.57/740,494.05 = 138,685.26/x
  3. Step 3: Cross multiply
    493,643.57x = 740,494.05 × 138,685.26
  4. Step 4: Simplify right side
    493,643.57x = 102,695,612,889.59
  5. Step 5: Solve for x
    x = 102,695,612,889.59/493,643.57
  6. Step 6: Final answer
    x = 208,035.96

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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.