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Finding the Fourth Proportional to 289,765.20, 434,647.80 and 148,047.60

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Solution

The fourth proportional to 289,765.20, 434,647.80 and 148,047.60 is: 222,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,765.20 : 434,647.80 = 148,047.60 : x
  2. Step 2: Convert to fraction form
    289,765.20/434,647.80 = 148,047.60/x
  3. Step 3: Cross multiply
    289,765.20x = 434,647.80 × 148,047.60
  4. Step 4: Simplify right side
    289,765.20x = 64,348,563,635.28
  5. Step 5: Solve for x
    x = 64,348,563,635.28/289,765.20
  6. Step 6: Final answer
    x = 222,071.40

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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.