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Finding the Fourth Proportional to 228,970.62, 315,647.67 and 160,779.90

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Solution

The fourth proportional to 228,970.62, 315,647.67 and 160,779.90 is: 221,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,970.62 : 315,647.67 = 160,779.90 : x
  2. Step 2: Convert to fraction form
    228,970.62/315,647.67 = 160,779.90/x
  3. Step 3: Cross multiply
    228,970.62x = 315,647.67 × 160,779.90
  4. Step 4: Simplify right side
    228,970.62x = 50,749,800,817.83
  5. Step 5: Solve for x
    x = 50,749,800,817.83/228,970.62
  6. Step 6: Final answer
    x = 221,643.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.