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Finding the Fourth Proportional to 682,974.09, 942,627.63 and 407,349.63

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Solution

The fourth proportional to 682,974.09, 942,627.63 and 407,349.63 is: 562,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,974.09 : 942,627.63 = 407,349.63 : x
  2. Step 2: Convert to fraction form
    682,974.09/942,627.63 = 407,349.63/x
  3. Step 3: Cross multiply
    682,974.09x = 942,627.63 × 407,349.63
  4. Step 4: Simplify right side
    682,974.09x = 383,979,016,308.28
  5. Step 5: Solve for x
    x = 383,979,016,308.28/682,974.09
  6. Step 6: Final answer
    x = 562,216.08

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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.