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Finding the Fourth Proportional to 500,632.80, 749,981.52 and 278,342.88

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Solution

The fourth proportional to 500,632.80, 749,981.52 and 278,342.88 is: 416,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,632.80 : 749,981.52 = 278,342.88 : x
  2. Step 2: Convert to fraction form
    500,632.80/749,981.52 = 278,342.88/x
  3. Step 3: Cross multiply
    500,632.80x = 749,981.52 × 278,342.88
  4. Step 4: Simplify right side
    500,632.80x = 208,752,016,223.58
  5. Step 5: Solve for x
    x = 208,752,016,223.58/500,632.80
  6. Step 6: Final answer
    x = 416,976.31

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1.5x scale

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.