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Finding the Fourth Proportional to 492,012.64, 678,718.80 and 310,659.04

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Solution

The fourth proportional to 492,012.64, 678,718.80 and 310,659.04 is: 428,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,012.64 : 678,718.80 = 310,659.04 : x
  2. Step 2: Convert to fraction form
    492,012.64/678,718.80 = 310,659.04/x
  3. Step 3: Cross multiply
    492,012.64x = 678,718.80 × 310,659.04
  4. Step 4: Simplify right side
    492,012.64x = 210,850,130,837.95
  5. Step 5: Solve for x
    x = 210,850,130,837.95/492,012.64
  6. Step 6: Final answer
    x = 428,546.17

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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.