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Finding the Fourth Proportional to 275,742.36, 413,967.74 and 212,602.59

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Solution

The fourth proportional to 275,742.36, 413,967.74 and 212,602.59 is: 319,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742.36 : 413,967.74 = 212,602.59 : x
  2. Step 2: Convert to fraction form
    275,742.36/413,967.74 = 212,602.59/x
  3. Step 3: Cross multiply
    275,742.36x = 413,967.74 × 212,602.59
  4. Step 4: Simplify right side
    275,742.36x = 88,010,612,637.43
  5. Step 5: Solve for x
    x = 88,010,612,637.43/275,742.36
  6. Step 6: Final answer
    x = 319,176.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.