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Finding the Fourth Proportional to 216,644.96, 299,011.37 and 145,149.63

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Solution

The fourth proportional to 216,644.96, 299,011.37 and 145,149.63 is: 200,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,644.96 : 299,011.37 = 145,149.63 : x
  2. Step 2: Convert to fraction form
    216,644.96/299,011.37 = 145,149.63/x
  3. Step 3: Cross multiply
    216,644.96x = 299,011.37 × 145,149.63
  4. Step 4: Simplify right side
    216,644.96x = 43,401,389,721.29
  5. Step 5: Solve for x
    x = 43,401,389,721.29/216,644.96
  6. Step 6: Final answer
    x = 200,334.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.