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Finding the Fourth Proportional to 398,107.64, 595,681.50 and 238,263.44

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Solution

The fourth proportional to 398,107.64, 595,681.50 and 238,263.44 is: 356,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,107.64 : 595,681.50 = 238,263.44 : x
  2. Step 2: Convert to fraction form
    398,107.64/595,681.50 = 238,263.44/x
  3. Step 3: Cross multiply
    398,107.64x = 595,681.50 × 238,263.44
  4. Step 4: Simplify right side
    398,107.64x = 141,929,123,334.36
  5. Step 5: Solve for x
    x = 141,929,123,334.36/398,107.64
  6. Step 6: Final answer
    x = 356,509.42

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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.