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Finding the Fourth Proportional to 497,255.46, 686,213.40 and 282,395.46

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Solution

The fourth proportional to 497,255.46, 686,213.40 and 282,395.46 is: 389,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,255.46 : 686,213.40 = 282,395.46 : x
  2. Step 2: Convert to fraction form
    497,255.46/686,213.40 = 282,395.46/x
  3. Step 3: Cross multiply
    497,255.46x = 686,213.40 × 282,395.46
  4. Step 4: Simplify right side
    497,255.46x = 193,783,550,000.74
  5. Step 5: Solve for x
    x = 193,783,550,000.74/497,255.46
  6. Step 6: Final answer
    x = 389,706.23

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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.