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Finding the Fourth Proportional to 310,271.85, 428,160.74 and 172,444.37

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Solution

The fourth proportional to 310,271.85, 428,160.74 and 172,444.37 is: 237,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,271.85 : 428,160.74 = 172,444.37 : x
  2. Step 2: Convert to fraction form
    310,271.85/428,160.74 = 172,444.37/x
  3. Step 3: Cross multiply
    310,271.85x = 428,160.74 × 172,444.37
  4. Step 4: Simplify right side
    310,271.85x = 73,833,906,065.01
  5. Step 5: Solve for x
    x = 73,833,906,065.01/310,271.85
  6. Step 6: Final answer
    x = 237,965.21

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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.