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Finding the Fourth Proportional to 305,861.60, 458,792.40 and 221,443.40

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Solution

The fourth proportional to 305,861.60, 458,792.40 and 221,443.40 is: 332,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,861.60 : 458,792.40 = 221,443.40 : x
  2. Step 2: Convert to fraction form
    305,861.60/458,792.40 = 221,443.40/x
  3. Step 3: Cross multiply
    305,861.60x = 458,792.40 × 221,443.40
  4. Step 4: Simplify right side
    305,861.60x = 101,596,548,950.16
  5. Step 5: Solve for x
    x = 101,596,548,950.16/305,861.60
  6. Step 6: Final answer
    x = 332,165.10

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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.