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Finding the Fourth Proportional to 398,109.64, 595,684.48 and 238,265.44

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Solution

The fourth proportional to 398,109.64, 595,684.48 and 238,265.44 is: 356,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,109.64 : 595,684.48 = 238,265.44 : x
  2. Step 2: Convert to fraction form
    398,109.64/595,684.48 = 238,265.44/x
  3. Step 3: Cross multiply
    398,109.64x = 595,684.48 × 238,265.44
  4. Step 4: Simplify right side
    398,109.64x = 141,931,024,728.37
  5. Step 5: Solve for x
    x = 141,931,024,728.37/398,109.64
  6. Step 6: Final answer
    x = 356,512.40

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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.