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Finding the Fourth Proportional to 493,881.81, 740,822.69 and 138,895.80

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Solution

The fourth proportional to 493,881.81, 740,822.69 and 138,895.80 is: 208,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,881.81 : 740,822.69 = 138,895.80 : x
  2. Step 2: Convert to fraction form
    493,881.81/740,822.69 = 138,895.80/x
  3. Step 3: Cross multiply
    493,881.81x = 740,822.69 × 138,895.80
  4. Step 4: Simplify right side
    493,881.81x = 102,897,157,754.86
  5. Step 5: Solve for x
    x = 102,897,157,754.86/493,881.81
  6. Step 6: Final answer
    x = 208,343.69

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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.