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Finding the Fourth Proportional to 289,388.70, 433,499.85 and 164,583.90

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Solution

The fourth proportional to 289,388.70, 433,499.85 and 164,583.90 is: 246,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,388.70 : 433,499.85 = 164,583.90 : x
  2. Step 2: Convert to fraction form
    289,388.70/433,499.85 = 164,583.90/x
  3. Step 3: Cross multiply
    289,388.70x = 433,499.85 × 164,583.90
  4. Step 4: Simplify right side
    289,388.70x = 71,347,095,962.42
  5. Step 5: Solve for x
    x = 71,347,095,962.42/289,388.70
  6. Step 6: Final answer
    x = 246,544.17

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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.