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Finding the Fourth Proportional to 571,893.76, 858,126.72 and 256,576

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Solution

The fourth proportional to 571,893.76, 858,126.72 and 256,576 is: 384,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,893.76 : 858,126.72 = 256,576 : x
  2. Step 2: Convert to fraction form
    571,893.76/858,126.72 = 256,576/x
  3. Step 3: Cross multiply
    571,893.76x = 858,126.72 × 256,576
  4. Step 4: Simplify right side
    571,893.76x = 220,174,721,310.72
  5. Step 5: Solve for x
    x = 220,174,721,310.72/571,893.76
  6. Step 6: Final answer
    x = 384,992.35

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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.