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Finding the Fourth Proportional to 228,549.75, 315,294 and 148,003.22

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Solution

The fourth proportional to 228,549.75, 315,294 and 148,003.22 is: 204,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,549.75 : 315,294 = 148,003.22 : x
  2. Step 2: Convert to fraction form
    228,549.75/315,294 = 148,003.22/x
  3. Step 3: Cross multiply
    228,549.75x = 315,294 × 148,003.22
  4. Step 4: Simplify right side
    228,549.75x = 46,664,525,670.21
  5. Step 5: Solve for x
    x = 46,664,525,670.21/228,549.75
  6. Step 6: Final answer
    x = 204,176.66

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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.