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Finding the Fourth Proportional to 228,922, 315,931.84 and 128,339.44

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Solution

The fourth proportional to 228,922, 315,931.84 and 128,339.44 is: 177,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,922 : 315,931.84 = 128,339.44 : x
  2. Step 2: Convert to fraction form
    228,922/315,931.84 = 128,339.44/x
  3. Step 3: Cross multiply
    228,922x = 315,931.84 × 128,339.44
  4. Step 4: Simplify right side
    228,922x = 40,546,515,423.77
  5. Step 5: Solve for x
    x = 40,546,515,423.77/228,922
  6. Step 6: Final answer
    x = 177,119.35

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1.5x scale

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.