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Finding the Fourth Proportional to 280,998, 387,823.02 and 208,879.86

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Solution

The fourth proportional to 280,998, 387,823.02 and 208,879.86 is: 288,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,998 : 387,823.02 = 208,879.86 : x
  2. Step 2: Convert to fraction form
    280,998/387,823.02 = 208,879.86/x
  3. Step 3: Cross multiply
    280,998x = 387,823.02 × 208,879.86
  4. Step 4: Simplify right side
    280,998x = 81,008,418,122.38
  5. Step 5: Solve for x
    x = 81,008,418,122.38/280,998
  6. Step 6: Final answer
    x = 288,288.24

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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.