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Finding the Fourth Proportional to 289,911.10, 434,866.65 and 201,337.60

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Solution

The fourth proportional to 289,911.10, 434,866.65 and 201,337.60 is: 302,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,911.10 : 434,866.65 = 201,337.60 : x
  2. Step 2: Convert to fraction form
    289,911.10/434,866.65 = 201,337.60/x
  3. Step 3: Cross multiply
    289,911.10x = 434,866.65 × 201,337.60
  4. Step 4: Simplify right side
    289,911.10x = 87,555,007,631.04
  5. Step 5: Solve for x
    x = 87,555,007,631.04/289,911.10
  6. Step 6: Final answer
    x = 302,006.40

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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.