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Finding the Fourth Proportional to 493,911.81, 740,790.09 and 156,908.07

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Solution

The fourth proportional to 493,911.81, 740,790.09 and 156,908.07 is: 235,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,911.81 : 740,790.09 = 156,908.07 : x
  2. Step 2: Convert to fraction form
    493,911.81/740,790.09 = 156,908.07/x
  3. Step 3: Cross multiply
    493,911.81x = 740,790.09 × 156,908.07
  4. Step 4: Simplify right side
    493,911.81x = 116,235,943,297.03
  5. Step 5: Solve for x
    x = 116,235,943,297.03/493,911.81
  6. Step 6: Final answer
    x = 235,337.44

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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.