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Finding the Fourth Proportional to 209,704.40, 313,865.40 and 162,702.80

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Solution

The fourth proportional to 209,704.40, 313,865.40 and 162,702.80 is: 243,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704.40 : 313,865.40 = 162,702.80 : x
  2. Step 2: Convert to fraction form
    209,704.40/313,865.40 = 162,702.80/x
  3. Step 3: Cross multiply
    209,704.40x = 313,865.40 × 162,702.80
  4. Step 4: Simplify right side
    209,704.40x = 51,066,779,403.12
  5. Step 5: Solve for x
    x = 51,066,779,403.12/209,704.40
  6. Step 6: Final answer
    x = 243,517.92

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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.