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Finding the Fourth Proportional to 682,974.23, 942,627.80 and 407,349.75

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Solution

The fourth proportional to 682,974.23, 942,627.80 and 407,349.75 is: 562,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,974.23 : 942,627.80 = 407,349.75 : x
  2. Step 2: Convert to fraction form
    682,974.23/942,627.80 = 407,349.75/x
  3. Step 3: Cross multiply
    682,974.23x = 942,627.80 × 407,349.75
  4. Step 4: Simplify right side
    682,974.23x = 383,979,196,636.30
  5. Step 5: Solve for x
    x = 383,979,196,636.30/682,974.23
  6. Step 6: Final answer
    x = 562,216.23

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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.