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Finding the Fourth Proportional to 429,343.77, 644,310.93 and 148,861.02

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Solution

The fourth proportional to 429,343.77, 644,310.93 and 148,861.02 is: 223,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,343.77 : 644,310.93 = 148,861.02 : x
  2. Step 2: Convert to fraction form
    429,343.77/644,310.93 = 148,861.02/x
  3. Step 3: Cross multiply
    429,343.77x = 644,310.93 × 148,861.02
  4. Step 4: Simplify right side
    429,343.77x = 95,912,782,236.95
  5. Step 5: Solve for x
    x = 95,912,782,236.95/429,343.77
  6. Step 6: Final answer
    x = 223,393.91

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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.