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Finding the Fourth Proportional to 422,299,801.80, 633,449,702.70 and 405,081,113.40

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Solution

The fourth proportional to 422,299,801.80, 633,449,702.70 and 405,081,113.40 is: 607,621,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,299,801.80 : 633,449,702.70 = 405,081,113.40 : x
  2. Step 2: Convert to fraction form
    422,299,801.80/633,449,702.70 = 405,081,113.40/x
  3. Step 3: Cross multiply
    422,299,801.80x = 633,449,702.70 × 405,081,113.40
  4. Step 4: Simplify right side
    422,299,801.80x = 256,598,510,852,614,976
  5. Step 5: Solve for x
    x = 256,598,510,852,614,976/422,299,801.80
  6. Step 6: Final answer
    x = 607,621,670.10

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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.