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Finding the Fourth Proportional to 366,904.48, 550,356.72 and 278,330.98

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Solution

The fourth proportional to 366,904.48, 550,356.72 and 278,330.98 is: 417,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,904.48 : 550,356.72 = 278,330.98 : x
  2. Step 2: Convert to fraction form
    366,904.48/550,356.72 = 278,330.98/x
  3. Step 3: Cross multiply
    366,904.48x = 550,356.72 × 278,330.98
  4. Step 4: Simplify right side
    366,904.48x = 153,181,325,227.19
  5. Step 5: Solve for x
    x = 153,181,325,227.19/366,904.48
  6. Step 6: Final answer
    x = 417,496.47

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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.