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Finding the Fourth Proportional to 228,825.19, 342,999.48 and 76,909.48

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Solution

The fourth proportional to 228,825.19, 342,999.48 and 76,909.48 is: 115,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,825.19 : 342,999.48 = 76,909.48 : x
  2. Step 2: Convert to fraction form
    228,825.19/342,999.48 = 76,909.48/x
  3. Step 3: Cross multiply
    228,825.19x = 342,999.48 × 76,909.48
  4. Step 4: Simplify right side
    228,825.19x = 26,379,911,647.07
  5. Step 5: Solve for x
    x = 26,379,911,647.07/228,825.19
  6. Step 6: Final answer
    x = 115,284.12

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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.