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Finding the Fourth Proportional to 510,782.21, 704,884.20 and 281,340.33

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Solution

The fourth proportional to 510,782.21, 704,884.20 and 281,340.33 is: 388,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,782.21 : 704,884.20 = 281,340.33 : x
  2. Step 2: Convert to fraction form
    510,782.21/704,884.20 = 281,340.33/x
  3. Step 3: Cross multiply
    510,782.21x = 704,884.20 × 281,340.33
  4. Step 4: Simplify right side
    510,782.21x = 198,312,353,439.79
  5. Step 5: Solve for x
    x = 198,312,353,439.79/510,782.21
  6. Step 6: Final answer
    x = 388,252.27

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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.