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Finding the Fourth Proportional to 312,963.88, 431,878.50 and 185,563.24

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Solution

The fourth proportional to 312,963.88, 431,878.50 and 185,563.24 is: 256,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,963.88 : 431,878.50 = 185,563.24 : x
  2. Step 2: Convert to fraction form
    312,963.88/431,878.50 = 185,563.24/x
  3. Step 3: Cross multiply
    312,963.88x = 431,878.50 × 185,563.24
  4. Step 4: Simplify right side
    312,963.88x = 80,140,773,746.34
  5. Step 5: Solve for x
    x = 80,140,773,746.34/312,963.88
  6. Step 6: Final answer
    x = 256,070.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.