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Finding the Fourth Proportional to 329,975.78, 455,131.31 and 302,839.31

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Solution

The fourth proportional to 329,975.78, 455,131.31 and 302,839.31 is: 417,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,975.78 : 455,131.31 = 302,839.31 : x
  2. Step 2: Convert to fraction form
    329,975.78/455,131.31 = 302,839.31/x
  3. Step 3: Cross multiply
    329,975.78x = 455,131.31 × 302,839.31
  4. Step 4: Simplify right side
    329,975.78x = 137,831,648,943.31
  5. Step 5: Solve for x
    x = 137,831,648,943.31/329,975.78
  6. Step 6: Final answer
    x = 417,702.33

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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.