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Finding the Fourth Proportional to 283,664.20, 425,496.30 and 257,420.20

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Solution

The fourth proportional to 283,664.20, 425,496.30 and 257,420.20 is: 386,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,664.20 : 425,496.30 = 257,420.20 : x
  2. Step 2: Convert to fraction form
    283,664.20/425,496.30 = 257,420.20/x
  3. Step 3: Cross multiply
    283,664.20x = 425,496.30 × 257,420.20
  4. Step 4: Simplify right side
    283,664.20x = 109,531,342,645.26
  5. Step 5: Solve for x
    x = 109,531,342,645.26/283,664.20
  6. Step 6: Final answer
    x = 386,130.30

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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.