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Finding the Fourth Proportional to 297,640, 446,080.32 and 139,520.08

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Solution

The fourth proportional to 297,640, 446,080.32 and 139,520.08 is: 209,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,640 : 446,080.32 = 139,520.08 : x
  2. Step 2: Convert to fraction form
    297,640/446,080.32 = 139,520.08/x
  3. Step 3: Cross multiply
    297,640x = 446,080.32 × 139,520.08
  4. Step 4: Simplify right side
    297,640x = 62,237,161,932.83
  5. Step 5: Solve for x
    x = 62,237,161,932.83/297,640
  6. Step 6: Final answer
    x = 209,102.14

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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.