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Finding the Fourth Proportional to 465,379.20, 642,283.20 and 314,467.20

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Solution

The fourth proportional to 465,379.20, 642,283.20 and 314,467.20 is: 434,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,379.20 : 642,283.20 = 314,467.20 : x
  2. Step 2: Convert to fraction form
    465,379.20/642,283.20 = 314,467.20/x
  3. Step 3: Cross multiply
    465,379.20x = 642,283.20 × 314,467.20
  4. Step 4: Simplify right side
    465,379.20x = 201,976,999,511.04
  5. Step 5: Solve for x
    x = 201,976,999,511.04/465,379.20
  6. Step 6: Final answer
    x = 434,005.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.