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Finding the Fourth Proportional to 313,660,676.90, 470,491,015.35 and 288,578,411.30

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Solution

The fourth proportional to 313,660,676.90, 470,491,015.35 and 288,578,411.30 is: 432,867,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,660,676.90 : 470,491,015.35 = 288,578,411.30 : x
  2. Step 2: Convert to fraction form
    313,660,676.90/470,491,015.35 = 288,578,411.30/x
  3. Step 3: Cross multiply
    313,660,676.90x = 470,491,015.35 × 288,578,411.30
  4. Step 4: Simplify right side
    313,660,676.90x = 135,773,549,740,626,928
  5. Step 5: Solve for x
    x = 135,773,549,740,626,928/313,660,676.90
  6. Step 6: Final answer
    x = 432,867,616.95

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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.