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Finding the Fourth Proportional to 310,190.84, 428,065.08 and 174,224.80

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Solution

The fourth proportional to 310,190.84, 428,065.08 and 174,224.80 is: 240,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,190.84 : 428,065.08 = 174,224.80 : x
  2. Step 2: Convert to fraction form
    310,190.84/428,065.08 = 174,224.80/x
  3. Step 3: Cross multiply
    310,190.84x = 428,065.08 × 174,224.80
  4. Step 4: Simplify right side
    310,190.84x = 74,579,552,949.98
  5. Step 5: Solve for x
    x = 74,579,552,949.98/310,190.84
  6. Step 6: Final answer
    x = 240,431.19

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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.