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Finding the Fourth Proportional to 384,380.48, 530,441.78 and 212,298.42

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Solution

The fourth proportional to 384,380.48, 530,441.78 and 212,298.42 is: 292,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,380.48 : 530,441.78 = 212,298.42 : x
  2. Step 2: Convert to fraction form
    384,380.48/530,441.78 = 212,298.42/x
  3. Step 3: Cross multiply
    384,380.48x = 530,441.78 × 212,298.42
  4. Step 4: Simplify right side
    384,380.48x = 112,611,951,795.99
  5. Step 5: Solve for x
    x = 112,611,951,795.99/384,380.48
  6. Step 6: Final answer
    x = 292,970.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.