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Finding the Fourth Proportional to 217,257.84, 298,094.64 and 213,530.48

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Solution

The fourth proportional to 217,257.84, 298,094.64 and 213,530.48 is: 292,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,257.84 : 298,094.64 = 213,530.48 : x
  2. Step 2: Convert to fraction form
    217,257.84/298,094.64 = 213,530.48/x
  3. Step 3: Cross multiply
    217,257.84x = 298,094.64 × 213,530.48
  4. Step 4: Simplify right side
    217,257.84x = 63,652,291,564.63
  5. Step 5: Solve for x
    x = 63,652,291,564.63/217,257.84
  6. Step 6: Final answer
    x = 292,980.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.