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Finding the Fourth Proportional to 419,753.46, 579,275.40 and 238,496.12

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Solution

The fourth proportional to 419,753.46, 579,275.40 and 238,496.12 is: 329,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,753.46 : 579,275.40 = 238,496.12 : x
  2. Step 2: Convert to fraction form
    419,753.46/579,275.40 = 238,496.12/x
  3. Step 3: Cross multiply
    419,753.46x = 579,275.40 × 238,496.12
  4. Step 4: Simplify right side
    419,753.46x = 138,154,932,415.07
  5. Step 5: Solve for x
    x = 138,154,932,415.07/419,753.46
  6. Step 6: Final answer
    x = 329,133.52

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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.