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Finding the Fourth Proportional to 278,054.81, 383,716.13 and 150,730.71

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Solution

The fourth proportional to 278,054.81, 383,716.13 and 150,730.71 is: 208,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,054.81 : 383,716.13 = 150,730.71 : x
  2. Step 2: Convert to fraction form
    278,054.81/383,716.13 = 150,730.71/x
  3. Step 3: Cross multiply
    278,054.81x = 383,716.13 × 150,730.71
  4. Step 4: Simplify right side
    278,054.81x = 57,837,804,713.35
  5. Step 5: Solve for x
    x = 57,837,804,713.35/278,054.81
  6. Step 6: Final answer
    x = 208,008.65

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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.