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Finding the Fourth Proportional to 417,456, 576,089.28 and 238,611.84

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Solution

The fourth proportional to 417,456, 576,089.28 and 238,611.84 is: 329,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,456 : 576,089.28 = 238,611.84 : x
  2. Step 2: Convert to fraction form
    417,456/576,089.28 = 238,611.84/x
  3. Step 3: Cross multiply
    417,456x = 576,089.28 × 238,611.84
  4. Step 4: Simplify right side
    417,456x = 137,461,723,105.08
  5. Step 5: Solve for x
    x = 137,461,723,105.08/417,456
  6. Step 6: Final answer
    x = 329,284.34

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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.