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Finding the Fourth Proportional to 449,634.36, 674,784.18 and 212,978.28

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Solution

The fourth proportional to 449,634.36, 674,784.18 and 212,978.28 is: 319,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,634.36 : 674,784.18 = 212,978.28 : x
  2. Step 2: Convert to fraction form
    449,634.36/674,784.18 = 212,978.28/x
  3. Step 3: Cross multiply
    449,634.36x = 674,784.18 × 212,978.28
  4. Step 4: Simplify right side
    449,634.36x = 143,714,374,027.61
  5. Step 5: Solve for x
    x = 143,714,374,027.61/449,634.36
  6. Step 6: Final answer
    x = 319,624.98

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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.