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Finding the Fourth Proportional to 310,461.49, 428,431.74 and 172,634.92

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Solution

The fourth proportional to 310,461.49, 428,431.74 and 172,634.92 is: 238,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,461.49 : 428,431.74 = 172,634.92 : x
  2. Step 2: Convert to fraction form
    310,461.49/428,431.74 = 172,634.92/x
  3. Step 3: Cross multiply
    310,461.49x = 428,431.74 × 172,634.92
  4. Step 4: Simplify right side
    310,461.49x = 73,962,279,160.36
  5. Step 5: Solve for x
    x = 73,962,279,160.36/310,461.49
  6. Step 6: Final answer
    x = 238,233.34

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1.5x scale

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.