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Finding the Fourth Proportional to 289,038.21, 432,996.27 and 212,998.77

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Solution

The fourth proportional to 289,038.21, 432,996.27 and 212,998.77 is: 319,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,038.21 : 432,996.27 = 212,998.77 : x
  2. Step 2: Convert to fraction form
    289,038.21/432,996.27 = 212,998.77/x
  3. Step 3: Cross multiply
    289,038.21x = 432,996.27 × 212,998.77
  4. Step 4: Simplify right side
    289,038.21x = 92,227,672,924.59
  5. Step 5: Solve for x
    x = 92,227,672,924.59/289,038.21
  6. Step 6: Final answer
    x = 319,084.71

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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.