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Finding the Fourth Proportional to 429,894.37, 643,955.01 and 251,861.23

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Solution

The fourth proportional to 429,894.37, 643,955.01 and 251,861.23 is: 377,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,894.37 : 643,955.01 = 251,861.23 : x
  2. Step 2: Convert to fraction form
    429,894.37/643,955.01 = 251,861.23/x
  3. Step 3: Cross multiply
    429,894.37x = 643,955.01 × 251,861.23
  4. Step 4: Simplify right side
    429,894.37x = 162,187,300,883.26
  5. Step 5: Solve for x
    x = 162,187,300,883.26/429,894.37
  6. Step 6: Final answer
    x = 377,272.45

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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.