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Finding the Fourth Proportional to 543,474.42, 814,782.84 and 343,373.10

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Solution

The fourth proportional to 543,474.42, 814,782.84 and 343,373.10 is: 514,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,474.42 : 814,782.84 = 343,373.10 : x
  2. Step 2: Convert to fraction form
    543,474.42/814,782.84 = 343,373.10/x
  3. Step 3: Cross multiply
    543,474.42x = 814,782.84 × 343,373.10
  4. Step 4: Simplify right side
    543,474.42x = 279,774,509,597.60
  5. Step 5: Solve for x
    x = 279,774,509,597.60/543,474.42
  6. Step 6: Final answer
    x = 514,788.74

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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.