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Finding the Fourth Proportional to 290,442,803.20, 407,640,291.20 and 290,442,803.20

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Solution

The fourth proportional to 290,442,803.20, 407,640,291.20 and 290,442,803.20 is: 407,640,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,442,803.20 : 407,640,291.20 = 290,442,803.20 : x
  2. Step 2: Convert to fraction form
    290,442,803.20/407,640,291.20 = 290,442,803.20/x
  3. Step 3: Cross multiply
    290,442,803.20x = 407,640,291.20 × 290,442,803.20
  4. Step 4: Simplify right side
    290,442,803.20x = 118,396,188,873,392,288
  5. Step 5: Solve for x
    x = 118,396,188,873,392,288/290,442,803.20
  6. Step 6: Final answer
    x = 407,640,291.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.