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Finding the Fourth Proportional to 343,051.80, 514,140.30 and 165,175.80

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Solution

The fourth proportional to 343,051.80, 514,140.30 and 165,175.80 is: 247,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,051.80 : 514,140.30 = 165,175.80 : x
  2. Step 2: Convert to fraction form
    343,051.80/514,140.30 = 165,175.80/x
  3. Step 3: Cross multiply
    343,051.80x = 514,140.30 × 165,175.80
  4. Step 4: Simplify right side
    343,051.80x = 84,923,535,364.74
  5. Step 5: Solve for x
    x = 84,923,535,364.74/343,051.80
  6. Step 6: Final answer
    x = 247,553.10

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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.