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Finding the Fourth Proportional to 508,384.94, 701,584.12 and 278,942.16

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Solution

The fourth proportional to 508,384.94, 701,584.12 and 278,942.16 is: 384,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,384.94 : 701,584.12 = 278,942.16 : x
  2. Step 2: Convert to fraction form
    508,384.94/701,584.12 = 278,942.16/x
  3. Step 3: Cross multiply
    508,384.94x = 701,584.12 × 278,942.16
  4. Step 4: Simplify right side
    508,384.94x = 195,701,393,618.64
  5. Step 5: Solve for x
    x = 195,701,393,618.64/508,384.94
  6. Step 6: Final answer
    x = 384,947.27

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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.