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Finding the Fourth Proportional to 571,428, 857,309.28 and 255,814.56

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Solution

The fourth proportional to 571,428, 857,309.28 and 255,814.56 is: 383,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,428 : 857,309.28 = 255,814.56 : x
  2. Step 2: Convert to fraction form
    571,428/857,309.28 = 255,814.56/x
  3. Step 3: Cross multiply
    571,428x = 857,309.28 × 255,814.56
  4. Step 4: Simplify right side
    571,428x = 219,312,196,247.12
  5. Step 5: Solve for x
    x = 219,312,196,247.12/571,428
  6. Step 6: Final answer
    x = 383,796.73

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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.