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Finding the Fourth Proportional to 498,405, 687,559.41 and 326,247.06

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Solution

The fourth proportional to 498,405, 687,559.41 and 326,247.06 is: 450,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,405 : 687,559.41 = 326,247.06 : x
  2. Step 2: Convert to fraction form
    498,405/687,559.41 = 326,247.06/x
  3. Step 3: Cross multiply
    498,405x = 687,559.41 × 326,247.06
  4. Step 4: Simplify right side
    498,405x = 224,314,236,087.84
  5. Step 5: Solve for x
    x = 224,314,236,087.84/498,405
  6. Step 6: Final answer
    x = 450,064.18

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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.