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Finding the Fourth Proportional to 429,005.99, 643,256.66 and 162,785.21

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Solution

The fourth proportional to 429,005.99, 643,256.66 and 162,785.21 is: 244,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,005.99 : 643,256.66 = 162,785.21 : x
  2. Step 2: Convert to fraction form
    429,005.99/643,256.66 = 162,785.21/x
  3. Step 3: Cross multiply
    429,005.99x = 643,256.66 × 162,785.21
  4. Step 4: Simplify right side
    429,005.99x = 104,712,670,375.33
  5. Step 5: Solve for x
    x = 104,712,670,375.33/429,005.99
  6. Step 6: Final answer
    x = 244,082.07

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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.