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Finding the Fourth Proportional to 343,706.80, 515,122.80 and 165,830.80

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Solution

The fourth proportional to 343,706.80, 515,122.80 and 165,830.80 is: 248,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,706.80 : 515,122.80 = 165,830.80 : x
  2. Step 2: Convert to fraction form
    343,706.80/515,122.80 = 165,830.80/x
  3. Step 3: Cross multiply
    343,706.80x = 515,122.80 × 165,830.80
  4. Step 4: Simplify right side
    343,706.80x = 85,423,226,022.24
  5. Step 5: Solve for x
    x = 85,423,226,022.24/343,706.80
  6. Step 6: Final answer
    x = 248,535.16

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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.