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Finding the Fourth Proportional to 349,457.40, 523,747.38 and 149,542.68

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Solution

The fourth proportional to 349,457.40, 523,747.38 and 149,542.68 is: 224,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,457.40 : 523,747.38 = 149,542.68 : x
  2. Step 2: Convert to fraction form
    349,457.40/523,747.38 = 149,542.68/x
  3. Step 3: Cross multiply
    349,457.40x = 523,747.38 × 149,542.68
  4. Step 4: Simplify right side
    349,457.40x = 78,322,586,848.18
  5. Step 5: Solve for x
    x = 78,322,586,848.18/349,457.40
  6. Step 6: Final answer
    x = 224,126.28

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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.