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Finding the Fourth Proportional to 234,381.45, 351,580.86 and 120,498.78

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Solution

The fourth proportional to 234,381.45, 351,580.86 and 120,498.78 is: 180,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,381.45 : 351,580.86 = 120,498.78 : x
  2. Step 2: Convert to fraction form
    234,381.45/351,580.86 = 120,498.78/x
  3. Step 3: Cross multiply
    234,381.45x = 351,580.86 × 120,498.78
  4. Step 4: Simplify right side
    234,381.45x = 42,365,064,701.35
  5. Step 5: Solve for x
    x = 42,365,064,701.35/234,381.45
  6. Step 6: Final answer
    x = 180,752.64

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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.