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Finding the Fourth Proportional to 343,814.20, 514,263.30 and 308,530.60

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Solution

The fourth proportional to 343,814.20, 514,263.30 and 308,530.60 is: 461,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,814.20 : 514,263.30 = 308,530.60 : x
  2. Step 2: Convert to fraction form
    343,814.20/514,263.30 = 308,530.60/x
  3. Step 3: Cross multiply
    343,814.20x = 514,263.30 × 308,530.60
  4. Step 4: Simplify right side
    343,814.20x = 158,665,964,506.98
  5. Step 5: Solve for x
    x = 158,665,964,506.98/343,814.20
  6. Step 6: Final answer
    x = 461,487.53

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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.