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Finding the Fourth Proportional to 429,587.40, 644,331.72 and 114,069

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Solution

The fourth proportional to 429,587.40, 644,331.72 and 114,069 is: 171,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,587.40 : 644,331.72 = 114,069 : x
  2. Step 2: Convert to fraction form
    429,587.40/644,331.72 = 114,069/x
  3. Step 3: Cross multiply
    429,587.40x = 644,331.72 × 114,069
  4. Step 4: Simplify right side
    429,587.40x = 73,498,274,968.68
  5. Step 5: Solve for x
    x = 73,498,274,968.68/429,587.40
  6. Step 6: Final answer
    x = 171,090.39

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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.