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Finding the Fourth Proportional to 429,380.46, 643,353.93 and 189,136.44

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Solution

The fourth proportional to 429,380.46, 643,353.93 and 189,136.44 is: 283,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,380.46 : 643,353.93 = 189,136.44 : x
  2. Step 2: Convert to fraction form
    429,380.46/643,353.93 = 189,136.44/x
  3. Step 3: Cross multiply
    429,380.46x = 643,353.93 × 189,136.44
  4. Step 4: Simplify right side
    429,380.46x = 121,681,671,980.21
  5. Step 5: Solve for x
    x = 121,681,671,980.21/429,380.46
  6. Step 6: Final answer
    x = 283,388.94

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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.