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Finding the Fourth Proportional to 355,871.34, 491,087.81 and 212,710.32

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Solution

The fourth proportional to 355,871.34, 491,087.81 and 212,710.32 is: 293,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,871.34 : 491,087.81 = 212,710.32 : x
  2. Step 2: Convert to fraction form
    355,871.34/491,087.81 = 212,710.32/x
  3. Step 3: Cross multiply
    355,871.34x = 491,087.81 × 212,710.32
  4. Step 4: Simplify right side
    355,871.34x = 104,459,445,744.98
  5. Step 5: Solve for x
    x = 104,459,445,744.98/355,871.34
  6. Step 6: Final answer
    x = 293,531.49

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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.