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Finding the Fourth Proportional to 284,911.70, 427,367.55 and 166,522.10

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Solution

The fourth proportional to 284,911.70, 427,367.55 and 166,522.10 is: 249,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,911.70 : 427,367.55 = 166,522.10 : x
  2. Step 2: Convert to fraction form
    284,911.70/427,367.55 = 166,522.10/x
  3. Step 3: Cross multiply
    284,911.70x = 427,367.55 × 166,522.10
  4. Step 4: Simplify right side
    284,911.70x = 71,166,141,897.86
  5. Step 5: Solve for x
    x = 71,166,141,897.86/284,911.70
  6. Step 6: Final answer
    x = 249,783.15

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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.