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Finding the Fourth Proportional to 289,909.60, 434,864.40 and 201,336.10

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Solution

The fourth proportional to 289,909.60, 434,864.40 and 201,336.10 is: 302,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,909.60 : 434,864.40 = 201,336.10 : x
  2. Step 2: Convert to fraction form
    289,909.60/434,864.40 = 201,336.10/x
  3. Step 3: Cross multiply
    289,909.60x = 434,864.40 × 201,336.10
  4. Step 4: Simplify right side
    289,909.60x = 87,553,902,324.84
  5. Step 5: Solve for x
    x = 87,553,902,324.84/289,909.60
  6. Step 6: Final answer
    x = 302,004.15

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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.