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Finding the Fourth Proportional to 383,280, 528,643.05 and 281,271

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Solution

The fourth proportional to 383,280, 528,643.05 and 281,271 is: 387,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,280 : 528,643.05 = 281,271 : x
  2. Step 2: Convert to fraction form
    383,280/528,643.05 = 281,271/x
  3. Step 3: Cross multiply
    383,280x = 528,643.05 × 281,271
  4. Step 4: Simplify right side
    383,280x = 148,691,959,316.55
  5. Step 5: Solve for x
    x = 148,691,959,316.55/383,280
  6. Step 6: Final answer
    x = 387,946.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.