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Finding the Fourth Proportional to 512,244.84, 706,990.41 and 305,526.48

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Solution

The fourth proportional to 512,244.84, 706,990.41 and 305,526.48 is: 421,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,244.84 : 706,990.41 = 305,526.48 : x
  2. Step 2: Convert to fraction form
    512,244.84/706,990.41 = 305,526.48/x
  3. Step 3: Cross multiply
    512,244.84x = 706,990.41 × 305,526.48
  4. Step 4: Simplify right side
    512,244.84x = 216,004,291,361.06
  5. Step 5: Solve for x
    x = 216,004,291,361.06/512,244.84
  6. Step 6: Final answer
    x = 421,681.73

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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.