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Finding the Fourth Proportional to 305,287.40, 458,000.70 and 94,946.60

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Solution

The fourth proportional to 305,287.40, 458,000.70 and 94,946.60 is: 142,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,287.40 : 458,000.70 = 94,946.60 : x
  2. Step 2: Convert to fraction form
    305,287.40/458,000.70 = 94,946.60/x
  3. Step 3: Cross multiply
    305,287.40x = 458,000.70 × 94,946.60
  4. Step 4: Simplify right side
    305,287.40x = 43,485,609,262.62
  5. Step 5: Solve for x
    x = 43,485,609,262.62/305,287.40
  6. Step 6: Final answer
    x = 142,441.55

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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.