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Finding the Fourth Proportional to 397,309.16, 595,308.32 and 228,970.88

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Solution

The fourth proportional to 397,309.16, 595,308.32 and 228,970.88 is: 343,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,309.16 : 595,308.32 = 228,970.88 : x
  2. Step 2: Convert to fraction form
    397,309.16/595,308.32 = 228,970.88/x
  3. Step 3: Cross multiply
    397,309.16x = 595,308.32 × 228,970.88
  4. Step 4: Simplify right side
    397,309.16x = 136,308,269,901.72
  5. Step 5: Solve for x
    x = 136,308,269,901.72/397,309.16
  6. Step 6: Final answer
    x = 343,078.60

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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.