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Finding the Fourth Proportional to 429,230.36, 643,408.14 and 192,509.48

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Solution

The fourth proportional to 429,230.36, 643,408.14 and 192,509.48 is: 288,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,230.36 : 643,408.14 = 192,509.48 : x
  2. Step 2: Convert to fraction form
    429,230.36/643,408.14 = 192,509.48/x
  3. Step 3: Cross multiply
    429,230.36x = 643,408.14 × 192,509.48
  4. Step 4: Simplify right side
    429,230.36x = 123,862,166,459.17
  5. Step 5: Solve for x
    x = 123,862,166,459.17/429,230.36
  6. Step 6: Final answer
    x = 288,568.05

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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.