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Finding the Fourth Proportional to 228,408.86, 315,323.61 and 142,394.06

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Solution

The fourth proportional to 228,408.86, 315,323.61 and 142,394.06 is: 196,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,408.86 : 315,323.61 = 142,394.06 : x
  2. Step 2: Convert to fraction form
    228,408.86/315,323.61 = 142,394.06/x
  3. Step 3: Cross multiply
    228,408.86x = 315,323.61 × 142,394.06
  4. Step 4: Simplify right side
    228,408.86x = 44,900,209,041.76
  5. Step 5: Solve for x
    x = 44,900,209,041.76/228,408.86
  6. Step 6: Final answer
    x = 196,578.23

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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.