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Finding the Fourth Proportional to 493,487.70, 740,404.35 and 213,206.10

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Solution

The fourth proportional to 493,487.70, 740,404.35 and 213,206.10 is: 319,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,487.70 : 740,404.35 = 213,206.10 : x
  2. Step 2: Convert to fraction form
    493,487.70/740,404.35 = 213,206.10/x
  3. Step 3: Cross multiply
    493,487.70x = 740,404.35 × 213,206.10
  4. Step 4: Simplify right side
    493,487.70x = 157,858,723,886.54
  5. Step 5: Solve for x
    x = 157,858,723,886.54/493,487.70
  6. Step 6: Final answer
    x = 319,883.81

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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.