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Finding the Fourth Proportional to 421,256.69, 631,885.03 and 140,773.94

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Solution

The fourth proportional to 421,256.69, 631,885.03 and 140,773.94 is: 211,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,256.69 : 631,885.03 = 140,773.94 : x
  2. Step 2: Convert to fraction form
    421,256.69/631,885.03 = 140,773.94/x
  3. Step 3: Cross multiply
    421,256.69x = 631,885.03 × 140,773.94
  4. Step 4: Simplify right side
    421,256.69x = 88,952,945,300.12
  5. Step 5: Solve for x
    x = 88,952,945,300.12/421,256.69
  6. Step 6: Final answer
    x = 211,160.91

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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.