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Finding the Fourth Proportional to 385,858.40, 578,593.20 and 228,135.20

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Solution

The fourth proportional to 385,858.40, 578,593.20 and 228,135.20 is: 342,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,858.40 : 578,593.20 = 228,135.20 : x
  2. Step 2: Convert to fraction form
    385,858.40/578,593.20 = 228,135.20/x
  3. Step 3: Cross multiply
    385,858.40x = 578,593.20 × 228,135.20
  4. Step 4: Simplify right side
    385,858.40x = 131,997,475,400.64
  5. Step 5: Solve for x
    x = 131,997,475,400.64/385,858.40
  6. Step 6: Final answer
    x = 342,087.86

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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.