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Finding the Fourth Proportional to 500,494.43, 750,782.61 and 145,508.01

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Solution

The fourth proportional to 500,494.43, 750,782.61 and 145,508.01 is: 218,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,494.43 : 750,782.61 = 145,508.01 : x
  2. Step 2: Convert to fraction form
    500,494.43/750,782.61 = 145,508.01/x
  3. Step 3: Cross multiply
    500,494.43x = 750,782.61 × 145,508.01
  4. Step 4: Simplify right side
    500,494.43x = 109,244,883,523.71
  5. Step 5: Solve for x
    x = 109,244,883,523.71/500,494.43
  6. Step 6: Final answer
    x = 218,273.93

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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.