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Finding the Fourth Proportional to 429,139.20, 643,939.20 and 179,846.40

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Solution

The fourth proportional to 429,139.20, 643,939.20 and 179,846.40 is: 269,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,139.20 : 643,939.20 = 179,846.40 : x
  2. Step 2: Convert to fraction form
    429,139.20/643,939.20 = 179,846.40/x
  3. Step 3: Cross multiply
    429,139.20x = 643,939.20 × 179,846.40
  4. Step 4: Simplify right side
    429,139.20x = 115,810,146,938.88
  5. Step 5: Solve for x
    x = 115,810,146,938.88/429,139.20
  6. Step 6: Final answer
    x = 269,866.16

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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.