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Finding the Fourth Proportional to 492,126, 678,939.48 and 310,770.24

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Solution

The fourth proportional to 492,126, 678,939.48 and 310,770.24 is: 428,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,126 : 678,939.48 = 310,770.24 : x
  2. Step 2: Convert to fraction form
    492,126/678,939.48 = 310,770.24/x
  3. Step 3: Cross multiply
    492,126x = 678,939.48 × 310,770.24
  4. Step 4: Simplify right side
    492,126x = 210,994,185,145.08
  5. Step 5: Solve for x
    x = 210,994,185,145.08/492,126
  6. Step 6: Final answer
    x = 428,740.17

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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.