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Finding the Fourth Proportional to 500,343.71, 750,431.04 and 140,431.97

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Solution

The fourth proportional to 500,343.71, 750,431.04 and 140,431.97 is: 210,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,343.71 : 750,431.04 = 140,431.97 : x
  2. Step 2: Convert to fraction form
    500,343.71/750,431.04 = 140,431.97/x
  3. Step 3: Cross multiply
    500,343.71x = 750,431.04 × 140,431.97
  4. Step 4: Simplify right side
    500,343.71x = 105,384,509,296.35
  5. Step 5: Solve for x
    x = 105,384,509,296.35/500,343.71
  6. Step 6: Final answer
    x = 210,624.23

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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.