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Finding the Fourth Proportional to 415,143.60, 622,231.48 and 190,527.76

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Solution

The fourth proportional to 415,143.60, 622,231.48 and 190,527.76 is: 285,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,143.60 : 622,231.48 = 190,527.76 : x
  2. Step 2: Convert to fraction form
    415,143.60/622,231.48 = 190,527.76/x
  3. Step 3: Cross multiply
    415,143.60x = 622,231.48 × 190,527.76
  4. Step 4: Simplify right side
    415,143.60x = 118,552,370,085.89
  5. Step 5: Solve for x
    x = 118,552,370,085.89/415,143.60
  6. Step 6: Final answer
    x = 285,569.55

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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.