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Finding the Fourth Proportional to 386,000.40, 578,741.40 and 206,115.60

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Solution

The fourth proportional to 386,000.40, 578,741.40 and 206,115.60 is: 309,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,000.40 : 578,741.40 = 206,115.60 : x
  2. Step 2: Convert to fraction form
    386,000.40/578,741.40 = 206,115.60/x
  3. Step 3: Cross multiply
    386,000.40x = 578,741.40 × 206,115.60
  4. Step 4: Simplify right side
    386,000.40x = 119,287,630,905.84
  5. Step 5: Solve for x
    x = 119,287,630,905.84/386,000.40
  6. Step 6: Final answer
    x = 309,034.99

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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.