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Finding the Fourth Proportional to 978,422.16, 1,467,475.80 and 268,285.44

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Solution

The fourth proportional to 978,422.16, 1,467,475.80 and 268,285.44 is: 402,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,422.16 : 1,467,475.80 = 268,285.44 : x
  2. Step 2: Convert to fraction form
    978,422.16/1,467,475.80 = 268,285.44/x
  3. Step 3: Cross multiply
    978,422.16x = 1,467,475.80 × 268,285.44
  4. Step 4: Simplify right side
    978,422.16x = 393,702,390,692.35
  5. Step 5: Solve for x
    x = 393,702,390,692.35/978,422.16
  6. Step 6: Final answer
    x = 402,384.99

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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.