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Finding the Fourth Proportional to 305,999.70, 458,999.55 and 164,282.10

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Solution

The fourth proportional to 305,999.70, 458,999.55 and 164,282.10 is: 246,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,999.70 : 458,999.55 = 164,282.10 : x
  2. Step 2: Convert to fraction form
    305,999.70/458,999.55 = 164,282.10/x
  3. Step 3: Cross multiply
    305,999.70x = 458,999.55 × 164,282.10
  4. Step 4: Simplify right side
    305,999.70x = 75,405,409,973.06
  5. Step 5: Solve for x
    x = 75,405,409,973.06/305,999.70
  6. Step 6: Final answer
    x = 246,423.15

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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.