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Finding the Fourth Proportional to 390,108.96, 585,183.60 and 123,890.40

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Solution

The fourth proportional to 390,108.96, 585,183.60 and 123,890.40 is: 185,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,108.96 : 585,183.60 = 123,890.40 : x
  2. Step 2: Convert to fraction form
    390,108.96/585,183.60 = 123,890.40/x
  3. Step 3: Cross multiply
    390,108.96x = 585,183.60 × 123,890.40
  4. Step 4: Simplify right side
    390,108.96x = 72,498,630,277.44
  5. Step 5: Solve for x
    x = 72,498,630,277.44/390,108.96
  6. Step 6: Final answer
    x = 185,842.00

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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.