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Finding the Fourth Proportional to 313,663,145.70, 470,494,718.55 and 299,554,371.30

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Solution

The fourth proportional to 313,663,145.70, 470,494,718.55 and 299,554,371.30 is: 449,331,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,663,145.70 : 470,494,718.55 = 299,554,371.30 : x
  2. Step 2: Convert to fraction form
    313,663,145.70/470,494,718.55 = 299,554,371.30/x
  3. Step 3: Cross multiply
    313,663,145.70x = 470,494,718.55 × 299,554,371.30
  4. Step 4: Simplify right side
    313,663,145.70x = 140,938,749,615,215,712
  5. Step 5: Solve for x
    x = 140,938,749,615,215,712/313,663,145.70
  6. Step 6: Final answer
    x = 449,331,556.95

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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.