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Finding the Fourth Proportional to 278,289.88, 384,040.77 and 150,965.47

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Solution

The fourth proportional to 278,289.88, 384,040.77 and 150,965.47 is: 208,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,289.88 : 384,040.77 = 150,965.47 : x
  2. Step 2: Convert to fraction form
    278,289.88/384,040.77 = 150,965.47/x
  3. Step 3: Cross multiply
    278,289.88x = 384,040.77 × 150,965.47
  4. Step 4: Simplify right side
    278,289.88x = 57,976,895,153.51
  5. Step 5: Solve for x
    x = 57,976,895,153.51/278,289.88
  6. Step 6: Final answer
    x = 208,332.75

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1.5x scale

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.