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Finding the Fourth Proportional to 429,778.97, 643,782.51 and 251,746.23

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Solution

The fourth proportional to 429,778.97, 643,782.51 and 251,746.23 is: 377,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,778.97 : 643,782.51 = 251,746.23 : x
  2. Step 2: Convert to fraction form
    429,778.97/643,782.51 = 251,746.23/x
  3. Step 3: Cross multiply
    429,778.97x = 643,782.51 × 251,746.23
  4. Step 4: Simplify right side
    429,778.97x = 162,069,819,832.44
  5. Step 5: Solve for x
    x = 162,069,819,832.44/429,778.97
  6. Step 6: Final answer
    x = 377,100.40

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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.