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Finding the Fourth Proportional to 343,608.94, 514,887.31 and 143,820.55

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Solution

The fourth proportional to 343,608.94, 514,887.31 and 143,820.55 is: 215,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,608.94 : 514,887.31 = 143,820.55 : x
  2. Step 2: Convert to fraction form
    343,608.94/514,887.31 = 143,820.55/x
  3. Step 3: Cross multiply
    343,608.94x = 514,887.31 × 143,820.55
  4. Step 4: Simplify right side
    343,608.94x = 74,051,376,112.22
  5. Step 5: Solve for x
    x = 74,051,376,112.22/343,608.94
  6. Step 6: Final answer
    x = 215,510.62

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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.