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Finding the Fourth Proportional to 290,345.20, 434,934.60 and 201,698.80

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Solution

The fourth proportional to 290,345.20, 434,934.60 and 201,698.80 is: 302,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,345.20 : 434,934.60 = 201,698.80 : x
  2. Step 2: Convert to fraction form
    290,345.20/434,934.60 = 201,698.80/x
  3. Step 3: Cross multiply
    290,345.20x = 434,934.60 × 201,698.80
  4. Step 4: Simplify right side
    290,345.20x = 87,725,786,898.48
  5. Step 5: Solve for x
    x = 87,725,786,898.48/290,345.20
  6. Step 6: Final answer
    x = 302,143.06

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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.