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Finding the Fourth Proportional to 208,445.40, 312,813.90 and 133,747.20

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Solution

The fourth proportional to 208,445.40, 312,813.90 and 133,747.20 is: 200,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,445.40 : 312,813.90 = 133,747.20 : x
  2. Step 2: Convert to fraction form
    208,445.40/312,813.90 = 133,747.20/x
  3. Step 3: Cross multiply
    208,445.40x = 312,813.90 × 133,747.20
  4. Step 4: Simplify right side
    208,445.40x = 41,837,983,246.08
  5. Step 5: Solve for x
    x = 41,837,983,246.08/208,445.40
  6. Step 6: Final answer
    x = 200,714.35

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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.