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Finding the Fourth Proportional to 419,753.21, 579,275.06 and 238,495.87

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Solution

The fourth proportional to 419,753.21, 579,275.06 and 238,495.87 is: 329,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,753.21 : 579,275.06 = 238,495.87 : x
  2. Step 2: Convert to fraction form
    419,753.21/579,275.06 = 238,495.87/x
  3. Step 3: Cross multiply
    419,753.21x = 579,275.06 × 238,495.87
  4. Step 4: Simplify right side
    419,753.21x = 138,154,709,404.00
  5. Step 5: Solve for x
    x = 138,154,709,404.00/419,753.21
  6. Step 6: Final answer
    x = 329,133.18

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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.