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Finding the Fourth Proportional to 313,669,995.90, 470,504,993.85 and 288,587,730.30

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Solution

The fourth proportional to 313,669,995.90, 470,504,993.85 and 288,587,730.30 is: 432,881,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,669,995.90 : 470,504,993.85 = 288,587,730.30 : x
  2. Step 2: Convert to fraction form
    313,669,995.90/470,504,993.85 = 288,587,730.30/x
  3. Step 3: Cross multiply
    313,669,995.90x = 470,504,993.85 × 288,587,730.30
  4. Step 4: Simplify right side
    313,669,995.90x = 135,781,968,269,986,976
  5. Step 5: Solve for x
    x = 135,781,968,269,986,976/313,669,995.90
  6. Step 6: Final answer
    x = 432,881,595.45

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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.