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Finding the Fourth Proportional to 310,707.36, 428,772.06 and 174,741.27

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Solution

The fourth proportional to 310,707.36, 428,772.06 and 174,741.27 is: 241,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,707.36 : 428,772.06 = 174,741.27 : x
  2. Step 2: Convert to fraction form
    310,707.36/428,772.06 = 174,741.27/x
  3. Step 3: Cross multiply
    310,707.36x = 428,772.06 × 174,741.27
  4. Step 4: Simplify right side
    310,707.36x = 74,924,174,304.92
  5. Step 5: Solve for x
    x = 74,924,174,304.92/310,707.36
  6. Step 6: Final answer
    x = 241,140.65

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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.