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Finding the Fourth Proportional to 228,830.57, 315,785.31 and 128,228.57

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Solution

The fourth proportional to 228,830.57, 315,785.31 and 128,228.57 is: 176,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,830.57 : 315,785.31 = 128,228.57 : x
  2. Step 2: Convert to fraction form
    228,830.57/315,785.31 = 128,228.57/x
  3. Step 3: Cross multiply
    228,830.57x = 315,785.31 × 128,228.57
  4. Step 4: Simplify right side
    228,830.57x = 40,492,698,728.31
  5. Step 5: Solve for x
    x = 40,492,698,728.31/228,830.57
  6. Step 6: Final answer
    x = 176,954.94

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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.