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Finding the Fourth Proportional to 430,874.34, 646,019.91 and 150,238.50

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Solution

The fourth proportional to 430,874.34, 646,019.91 and 150,238.50 is: 225,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,874.34 : 646,019.91 = 150,238.50 : x
  2. Step 2: Convert to fraction form
    430,874.34/646,019.91 = 150,238.50/x
  3. Step 3: Cross multiply
    430,874.34x = 646,019.91 × 150,238.50
  4. Step 4: Simplify right side
    430,874.34x = 97,057,062,248.54
  5. Step 5: Solve for x
    x = 97,057,062,248.54/430,874.34
  6. Step 6: Final answer
    x = 225,256.07

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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.