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Finding the Fourth Proportional to 442,920.10, 662,630.55 and 384,405.70

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Solution

The fourth proportional to 442,920.10, 662,630.55 and 384,405.70 is: 575,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920.10 : 662,630.55 = 384,405.70 : x
  2. Step 2: Convert to fraction form
    442,920.10/662,630.55 = 384,405.70/x
  3. Step 3: Cross multiply
    442,920.10x = 662,630.55 × 384,405.70
  4. Step 4: Simplify right side
    442,920.10x = 254,718,960,414.14
  5. Step 5: Solve for x
    x = 254,718,960,414.14/442,920.10
  6. Step 6: Final answer
    x = 575,090.09

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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.