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Finding the Fourth Proportional to 412,878.30, 619,428.16 and 328,954.91

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Solution

The fourth proportional to 412,878.30, 619,428.16 and 328,954.91 is: 493,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,878.30 : 619,428.16 = 328,954.91 : x
  2. Step 2: Convert to fraction form
    412,878.30/619,428.16 = 328,954.91/x
  3. Step 3: Cross multiply
    412,878.30x = 619,428.16 × 328,954.91
  4. Step 4: Simplify right side
    412,878.30x = 203,763,931,938.32
  5. Step 5: Solve for x
    x = 203,763,931,938.32/412,878.30
  6. Step 6: Final answer
    x = 493,520.57

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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.