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Finding the Fourth Proportional to 519,655.50, 717,126.75 and 281,191.50

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Solution

The fourth proportional to 519,655.50, 717,126.75 and 281,191.50 is: 388,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,655.50 : 717,126.75 = 281,191.50 : x
  2. Step 2: Convert to fraction form
    519,655.50/717,126.75 = 281,191.50/x
  3. Step 3: Cross multiply
    519,655.50x = 717,126.75 × 281,191.50
  4. Step 4: Simplify right side
    519,655.50x = 201,649,946,522.63
  5. Step 5: Solve for x
    x = 201,649,946,522.63/519,655.50
  6. Step 6: Final answer
    x = 388,045.44

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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.