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Finding the Fourth Proportional to 355,814.48, 490,943.60 and 212,546.48

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Solution

The fourth proportional to 355,814.48, 490,943.60 and 212,546.48 is: 293,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,814.48 : 490,943.60 = 212,546.48 : x
  2. Step 2: Convert to fraction form
    355,814.48/490,943.60 = 212,546.48/x
  3. Step 3: Cross multiply
    355,814.48x = 490,943.60 × 212,546.48
  4. Step 4: Simplify right side
    355,814.48x = 104,348,334,058.53
  5. Step 5: Solve for x
    x = 104,348,334,058.53/355,814.48
  6. Step 6: Final answer
    x = 293,266.13

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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.