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Finding the Fourth Proportional to 430,873.97, 646,606.19 and 150,391.22

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Solution

The fourth proportional to 430,873.97, 646,606.19 and 150,391.22 is: 225,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,873.97 : 646,606.19 = 150,391.22 : x
  2. Step 2: Convert to fraction form
    430,873.97/646,606.19 = 150,391.22/x
  3. Step 3: Cross multiply
    430,873.97x = 646,606.19 × 150,391.22
  4. Step 4: Simplify right side
    430,873.97x = 97,243,890,916.60
  5. Step 5: Solve for x
    x = 97,243,890,916.60/430,873.97
  6. Step 6: Final answer
    x = 225,689.87

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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.