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Finding the Fourth Proportional to 284,114.70, 426,172.05 and 165,725.10

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Solution

The fourth proportional to 284,114.70, 426,172.05 and 165,725.10 is: 248,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,114.70 : 426,172.05 = 165,725.10 : x
  2. Step 2: Convert to fraction form
    284,114.70/426,172.05 = 165,725.10/x
  3. Step 3: Cross multiply
    284,114.70x = 426,172.05 × 165,725.10
  4. Step 4: Simplify right side
    284,114.70x = 70,627,405,603.46
  5. Step 5: Solve for x
    x = 70,627,405,603.46/284,114.70
  6. Step 6: Final answer
    x = 248,587.65

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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.