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Finding the Fourth Proportional to 385,601.80, 578,057.10 and 343,611.40

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Solution

The fourth proportional to 385,601.80, 578,057.10 and 343,611.40 is: 515,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,601.80 : 578,057.10 = 343,611.40 : x
  2. Step 2: Convert to fraction form
    385,601.80/578,057.10 = 343,611.40/x
  3. Step 3: Cross multiply
    385,601.80x = 578,057.10 × 343,611.40
  4. Step 4: Simplify right side
    385,601.80x = 198,627,009,410.94
  5. Step 5: Solve for x
    x = 198,627,009,410.94/385,601.80
  6. Step 6: Final answer
    x = 515,109.13

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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.