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Finding the Fourth Proportional to 427,498.40, 589,964 and 233,919.20

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Solution

The fourth proportional to 427,498.40, 589,964 and 233,919.20 is: 322,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,498.40 : 589,964 = 233,919.20 : x
  2. Step 2: Convert to fraction form
    427,498.40/589,964 = 233,919.20/x
  3. Step 3: Cross multiply
    427,498.40x = 589,964 × 233,919.20
  4. Step 4: Simplify right side
    427,498.40x = 138,003,906,908.80
  5. Step 5: Solve for x
    x = 138,003,906,908.80/427,498.40
  6. Step 6: Final answer
    x = 322,817.36

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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.