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Finding the Fourth Proportional to 498,626.40, 692,749.84 and 492,647.70

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Solution

The fourth proportional to 498,626.40, 692,749.84 and 492,647.70 is: 684,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,626.40 : 692,749.84 = 492,647.70 : x
  2. Step 2: Convert to fraction form
    498,626.40/692,749.84 = 492,647.70/x
  3. Step 3: Cross multiply
    498,626.40x = 692,749.84 × 492,647.70
  4. Step 4: Simplify right side
    498,626.40x = 341,281,615,351.37
  5. Step 5: Solve for x
    x = 341,281,615,351.37/498,626.40
  6. Step 6: Final answer
    x = 684,443.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.