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Finding the Fourth Proportional to 213,654,293.60, 320,481,440.40 and 199,321,570.40

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Solution

The fourth proportional to 213,654,293.60, 320,481,440.40 and 199,321,570.40 is: 298,982,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,654,293.60 : 320,481,440.40 = 199,321,570.40 : x
  2. Step 2: Convert to fraction form
    213,654,293.60/320,481,440.40 = 199,321,570.40/x
  3. Step 3: Cross multiply
    213,654,293.60x = 320,481,440.40 × 199,321,570.40
  4. Step 4: Simplify right side
    213,654,293.60x = 63,878,863,984,582,000
  5. Step 5: Solve for x
    x = 63,878,863,984,582,000/213,654,293.60
  6. Step 6: Final answer
    x = 298,982,355.60

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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.