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Finding the Fourth Proportional to 310,561.70, 428,590.37 and 174,638.43

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Solution

The fourth proportional to 310,561.70, 428,590.37 and 174,638.43 is: 241,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,561.70 : 428,590.37 = 174,638.43 : x
  2. Step 2: Convert to fraction form
    310,561.70/428,590.37 = 174,638.43/x
  3. Step 3: Cross multiply
    310,561.70x = 428,590.37 × 174,638.43
  4. Step 4: Simplify right side
    310,561.70x = 74,848,349,766.52
  5. Step 5: Solve for x
    x = 74,848,349,766.52/310,561.70
  6. Step 6: Final answer
    x = 241,009.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.