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Finding the Fourth Proportional to 330,644.70, 456,339.48 and 201,658

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Solution

The fourth proportional to 330,644.70, 456,339.48 and 201,658 is: 278,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,644.70 : 456,339.48 = 201,658 : x
  2. Step 2: Convert to fraction form
    330,644.70/456,339.48 = 201,658/x
  3. Step 3: Cross multiply
    330,644.70x = 456,339.48 × 201,658
  4. Step 4: Simplify right side
    330,644.70x = 92,024,506,857.84
  5. Step 5: Solve for x
    x = 92,024,506,857.84/330,644.70
  6. Step 6: Final answer
    x = 278,318.41

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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.