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Finding the Fourth Proportional to 366,919.10, 550,378.65 and 278,345.60

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Solution

The fourth proportional to 366,919.10, 550,378.65 and 278,345.60 is: 417,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,919.10 : 550,378.65 = 278,345.60 : x
  2. Step 2: Convert to fraction form
    366,919.10/550,378.65 = 278,345.60/x
  3. Step 3: Cross multiply
    366,919.10x = 550,378.65 × 278,345.60
  4. Step 4: Simplify right side
    366,919.10x = 153,195,475,561.44
  5. Step 5: Solve for x
    x = 153,195,475,561.44/366,919.10
  6. Step 6: Final answer
    x = 417,518.40

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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.