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Finding the Fourth Proportional to 429,778.80, 643,782.24 and 251,746.07

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Solution

The fourth proportional to 429,778.80, 643,782.24 and 251,746.07 is: 377,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,778.80 : 643,782.24 = 251,746.07 : x
  2. Step 2: Convert to fraction form
    429,778.80/643,782.24 = 251,746.07/x
  3. Step 3: Cross multiply
    429,778.80x = 643,782.24 × 251,746.07
  4. Step 4: Simplify right side
    429,778.80x = 162,069,645,636.89
  5. Step 5: Solve for x
    x = 162,069,645,636.89/429,778.80
  6. Step 6: Final answer
    x = 377,100.14

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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.