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Finding the Fourth Proportional to 343,314.40, 514,825.80 and 165,875.80

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Solution

The fourth proportional to 343,314.40, 514,825.80 and 165,875.80 is: 248,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,314.40 : 514,825.80 = 165,875.80 : x
  2. Step 2: Convert to fraction form
    343,314.40/514,825.80 = 165,875.80/x
  3. Step 3: Cross multiply
    343,314.40x = 514,825.80 × 165,875.80
  4. Step 4: Simplify right side
    343,314.40x = 85,397,141,435.64
  5. Step 5: Solve for x
    x = 85,397,141,435.64/343,314.40
  6. Step 6: Final answer
    x = 248,743.26

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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.