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Finding the Fourth Proportional to 289,909.10, 434,863.65 and 201,335.60

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Solution

The fourth proportional to 289,909.10, 434,863.65 and 201,335.60 is: 302,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,909.10 : 434,863.65 = 201,335.60 : x
  2. Step 2: Convert to fraction form
    289,909.10/434,863.65 = 201,335.60/x
  3. Step 3: Cross multiply
    289,909.10x = 434,863.65 × 201,335.60
  4. Step 4: Simplify right side
    289,909.10x = 87,553,533,890.94
  5. Step 5: Solve for x
    x = 87,553,533,890.94/289,909.10
  6. Step 6: Final answer
    x = 302,003.40

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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.