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Finding the Fourth Proportional to 571,945.44, 857,924.56 and 172,590

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Solution

The fourth proportional to 571,945.44, 857,924.56 and 172,590 is: 258,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,945.44 : 857,924.56 = 172,590 : x
  2. Step 2: Convert to fraction form
    571,945.44/857,924.56 = 172,590/x
  3. Step 3: Cross multiply
    571,945.44x = 857,924.56 × 172,590
  4. Step 4: Simplify right side
    571,945.44x = 148,069,199,810.40
  5. Step 5: Solve for x
    x = 148,069,199,810.40/571,945.44
  6. Step 6: Final answer
    x = 258,886.93

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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.