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Finding the Fourth Proportional to 289,037.54, 432,995.22 and 212,998.05

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Solution

The fourth proportional to 289,037.54, 432,995.22 and 212,998.05 is: 319,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,037.54 : 432,995.22 = 212,998.05 : x
  2. Step 2: Convert to fraction form
    289,037.54/432,995.22 = 212,998.05/x
  3. Step 3: Cross multiply
    289,037.54x = 432,995.22 × 212,998.05
  4. Step 4: Simplify right side
    289,037.54x = 92,227,137,519.32
  5. Step 5: Solve for x
    x = 92,227,137,519.32/289,037.54
  6. Step 6: Final answer
    x = 319,083.60

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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.