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Finding the Fourth Proportional to 281,534.08, 421,892.88 and 155,200

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Solution

The fourth proportional to 281,534.08, 421,892.88 and 155,200 is: 232,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,534.08 : 421,892.88 = 155,200 : x
  2. Step 2: Convert to fraction form
    281,534.08/421,892.88 = 155,200/x
  3. Step 3: Cross multiply
    281,534.08x = 421,892.88 × 155,200
  4. Step 4: Simplify right side
    281,534.08x = 65,477,774,976
  5. Step 5: Solve for x
    x = 65,477,774,976/281,534.08
  6. Step 6: Final answer
    x = 232,574.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.