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Finding the Fourth Proportional to 682,447.66, 942,079.74 and 440,848.02

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Solution

The fourth proportional to 682,447.66, 942,079.74 and 440,848.02 is: 608,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,447.66 : 942,079.74 = 440,848.02 : x
  2. Step 2: Convert to fraction form
    682,447.66/942,079.74 = 440,848.02/x
  3. Step 3: Cross multiply
    682,447.66x = 942,079.74 × 440,848.02
  4. Step 4: Simplify right side
    682,447.66x = 415,313,988,061.12
  5. Step 5: Solve for x
    x = 415,313,988,061.12/682,447.66
  6. Step 6: Final answer
    x = 608,565.33

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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.