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Finding the Fourth Proportional to 278,054.69, 383,718.21 and 150,729.98

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Solution

The fourth proportional to 278,054.69, 383,718.21 and 150,729.98 is: 208,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,054.69 : 383,718.21 = 150,729.98 : x
  2. Step 2: Convert to fraction form
    278,054.69/383,718.21 = 150,729.98/x
  3. Step 3: Cross multiply
    278,054.69x = 383,718.21 × 150,729.98
  4. Step 4: Simplify right side
    278,054.69x = 57,837,838,118.94
  5. Step 5: Solve for x
    x = 57,837,838,118.94/278,054.69
  6. Step 6: Final answer
    x = 208,008.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.