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Finding the Fourth Proportional to 290,498,401.80, 435,985,548.30 and 288,230,920.20

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Solution

The fourth proportional to 290,498,401.80, 435,985,548.30 and 288,230,920.20 is: 432,582,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,498,401.80 : 435,985,548.30 = 288,230,920.20 : x
  2. Step 2: Convert to fraction form
    290,498,401.80/435,985,548.30 = 288,230,920.20/x
  3. Step 3: Cross multiply
    290,498,401.80x = 435,985,548.30 × 288,230,920.20
  4. Step 4: Simplify right side
    290,498,401.80x = 125,664,515,780,410,544
  5. Step 5: Solve for x
    x = 125,664,515,780,410,544/290,498,401.80
  6. Step 6: Final answer
    x = 432,582,468.62

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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.