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Finding the Fourth Proportional to 415,047.60, 622,571.40 and 310,071.60

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Solution

The fourth proportional to 415,047.60, 622,571.40 and 310,071.60 is: 465,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,047.60 : 622,571.40 = 310,071.60 : x
  2. Step 2: Convert to fraction form
    415,047.60/622,571.40 = 310,071.60/x
  3. Step 3: Cross multiply
    415,047.60x = 622,571.40 × 310,071.60
  4. Step 4: Simplify right side
    415,047.60x = 193,041,710,112.24
  5. Step 5: Solve for x
    x = 193,041,710,112.24/415,047.60
  6. Step 6: Final answer
    x = 465,107.40

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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.