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Finding the Fourth Proportional to 493,659.35, 740,756.93 and 209,509.73

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Solution

The fourth proportional to 493,659.35, 740,756.93 and 209,509.73 is: 314,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,659.35 : 740,756.93 = 209,509.73 : x
  2. Step 2: Convert to fraction form
    493,659.35/740,756.93 = 209,509.73/x
  3. Step 3: Cross multiply
    493,659.35x = 740,756.93 × 209,509.73
  4. Step 4: Simplify right side
    493,659.35x = 155,195,779,648.60
  5. Step 5: Solve for x
    x = 155,195,779,648.60/493,659.35
  6. Step 6: Final answer
    x = 314,378.29

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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.