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Finding the Fourth Proportional to 280,999, 387,824.40 and 208,880.86

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Solution

The fourth proportional to 280,999, 387,824.40 and 208,880.86 is: 288,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999 : 387,824.40 = 208,880.86 : x
  2. Step 2: Convert to fraction form
    280,999/387,824.40 = 208,880.86/x
  3. Step 3: Cross multiply
    280,999x = 387,824.40 × 208,880.86
  4. Step 4: Simplify right side
    280,999x = 81,009,094,200.98
  5. Step 5: Solve for x
    x = 81,009,094,200.98/280,999
  6. Step 6: Final answer
    x = 288,289.62

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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.