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Finding the Fourth Proportional to 429,503.22, 643,970.48 and 204,898.32

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Solution

The fourth proportional to 429,503.22, 643,970.48 and 204,898.32 is: 307,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,503.22 : 643,970.48 = 204,898.32 : x
  2. Step 2: Convert to fraction form
    429,503.22/643,970.48 = 204,898.32/x
  3. Step 3: Cross multiply
    429,503.22x = 643,970.48 × 204,898.32
  4. Step 4: Simplify right side
    429,503.22x = 131,948,468,457.10
  5. Step 5: Solve for x
    x = 131,948,468,457.10/429,503.22
  6. Step 6: Final answer
    x = 307,211.83

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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.