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Finding the Fourth Proportional to 429,969.60, 644,788.44 and 141,712.02

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Solution

The fourth proportional to 429,969.60, 644,788.44 and 141,712.02 is: 212,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,969.60 : 644,788.44 = 141,712.02 : x
  2. Step 2: Convert to fraction form
    429,969.60/644,788.44 = 141,712.02/x
  3. Step 3: Cross multiply
    429,969.60x = 644,788.44 × 141,712.02
  4. Step 4: Simplify right side
    429,969.60x = 91,374,272,305.05
  5. Step 5: Solve for x
    x = 91,374,272,305.05/429,969.60
  6. Step 6: Final answer
    x = 212,513.33

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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.