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Finding the Fourth Proportional to 571,689.85, 857,256.93 and 172,256.17

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Solution

The fourth proportional to 571,689.85, 857,256.93 and 172,256.17 is: 258,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,689.85 : 857,256.93 = 172,256.17 : x
  2. Step 2: Convert to fraction form
    571,689.85/857,256.93 = 172,256.17/x
  3. Step 3: Cross multiply
    571,689.85x = 857,256.93 × 172,256.17
  4. Step 4: Simplify right side
    571,689.85x = 147,667,795,467.76
  5. Step 5: Solve for x
    x = 147,667,795,467.76/571,689.85
  6. Step 6: Final answer
    x = 258,300.54

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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.