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Finding the Fourth Proportional to 284,487.81, 426,728.66 and 164,468.40

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Solution

The fourth proportional to 284,487.81, 426,728.66 and 164,468.40 is: 246,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,487.81 : 426,728.66 = 164,468.40 : x
  2. Step 2: Convert to fraction form
    284,487.81/426,728.66 = 164,468.40/x
  3. Step 3: Cross multiply
    284,487.81x = 426,728.66 × 164,468.40
  4. Step 4: Simplify right side
    284,487.81x = 70,183,379,122.00
  5. Step 5: Solve for x
    x = 70,183,379,122.00/284,487.81
  6. Step 6: Final answer
    x = 246,700.83

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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.