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Finding the Fourth Proportional to 978,102.15, 1,467,153.23 and 409,384.95

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Solution

The fourth proportional to 978,102.15, 1,467,153.23 and 409,384.95 is: 614,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,102.15 : 1,467,153.23 = 409,384.95 : x
  2. Step 2: Convert to fraction form
    978,102.15/1,467,153.23 = 409,384.95/x
  3. Step 3: Cross multiply
    978,102.15x = 1,467,153.23 × 409,384.95
  4. Step 4: Simplify right side
    978,102.15x = 600,630,449,658.96
  5. Step 5: Solve for x
    x = 600,630,449,658.96/978,102.15
  6. Step 6: Final answer
    x = 614,077.43

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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.