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Finding the Fourth Proportional to 429,391.10, 592,578.21 and 238,404.50

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Solution

The fourth proportional to 429,391.10, 592,578.21 and 238,404.50 is: 329,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,391.10 : 592,578.21 = 238,404.50 : x
  2. Step 2: Convert to fraction form
    429,391.10/592,578.21 = 238,404.50/x
  3. Step 3: Cross multiply
    429,391.10x = 592,578.21 × 238,404.50
  4. Step 4: Simplify right side
    429,391.10x = 141,273,311,865.95
  5. Step 5: Solve for x
    x = 141,273,311,865.95/429,391.10
  6. Step 6: Final answer
    x = 329,008.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.