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Finding the Fourth Proportional to 386,056.60, 578,814.90 and 228,203.80

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Solution

The fourth proportional to 386,056.60, 578,814.90 and 228,203.80 is: 342,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,056.60 : 578,814.90 = 228,203.80 : x
  2. Step 2: Convert to fraction form
    386,056.60/578,814.90 = 228,203.80/x
  3. Step 3: Cross multiply
    386,056.60x = 578,814.90 × 228,203.80
  4. Step 4: Simplify right side
    386,056.60x = 132,087,759,676.62
  5. Step 5: Solve for x
    x = 132,087,759,676.62/386,056.60
  6. Step 6: Final answer
    x = 342,146.10

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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.