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Finding the Fourth Proportional to 442,904.30, 664,648.05 and 253,364.30

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Solution

The fourth proportional to 442,904.30, 664,648.05 and 253,364.30 is: 380,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,904.30 : 664,648.05 = 253,364.30 : x
  2. Step 2: Convert to fraction form
    442,904.30/664,648.05 = 253,364.30/x
  3. Step 3: Cross multiply
    442,904.30x = 664,648.05 × 253,364.30
  4. Step 4: Simplify right side
    442,904.30x = 168,398,087,934.62
  5. Step 5: Solve for x
    x = 168,398,087,934.62/442,904.30
  6. Step 6: Final answer
    x = 380,213.26

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1.5x scale

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.