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Finding the Fourth Proportional to 520,126.47, 779,968.17 and 204,361.88

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Solution

The fourth proportional to 520,126.47, 779,968.17 and 204,361.88 is: 306,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,126.47 : 779,968.17 = 204,361.88 : x
  2. Step 2: Convert to fraction form
    520,126.47/779,968.17 = 204,361.88/x
  3. Step 3: Cross multiply
    520,126.47x = 779,968.17 × 204,361.88
  4. Step 4: Simplify right side
    520,126.47x = 159,395,757,661.52
  5. Step 5: Solve for x
    x = 159,395,757,661.52/520,126.47
  6. Step 6: Final answer
    x = 306,455.77

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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.