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Finding the Fourth Proportional to 238,280, 329,440.80 and 227,835.20

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Solution

The fourth proportional to 238,280, 329,440.80 and 227,835.20 is: 315,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,280 : 329,440.80 = 227,835.20 : x
  2. Step 2: Convert to fraction form
    238,280/329,440.80 = 227,835.20/x
  3. Step 3: Cross multiply
    238,280x = 329,440.80 × 227,835.20
  4. Step 4: Simplify right side
    238,280x = 75,058,210,556.16
  5. Step 5: Solve for x
    x = 75,058,210,556.16/238,280
  6. Step 6: Final answer
    x = 315,000.04

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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.