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Finding the Fourth Proportional to 289,039.21, 432,997.77 and 212,999.77

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Solution

The fourth proportional to 289,039.21, 432,997.77 and 212,999.77 is: 319,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,039.21 : 432,997.77 = 212,999.77 : x
  2. Step 2: Convert to fraction form
    289,039.21/432,997.77 = 212,999.77/x
  3. Step 3: Cross multiply
    289,039.21x = 432,997.77 × 212,999.77
  4. Step 4: Simplify right side
    289,039.21x = 92,228,425,420.51
  5. Step 5: Solve for x
    x = 92,228,425,420.51/289,039.21
  6. Step 6: Final answer
    x = 319,086.21

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1.5x scale

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.