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Finding the Fourth Proportional to 437,642.16, 656,200.80 and 200,688

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Solution

The fourth proportional to 437,642.16, 656,200.80 and 200,688 is: 300,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,642.16 : 656,200.80 = 200,688 : x
  2. Step 2: Convert to fraction form
    437,642.16/656,200.80 = 200,688/x
  3. Step 3: Cross multiply
    437,642.16x = 656,200.80 × 200,688
  4. Step 4: Simplify right side
    437,642.16x = 131,691,626,150.40
  5. Step 5: Solve for x
    x = 131,691,626,150.40/437,642.16
  6. Step 6: Final answer
    x = 300,911.65

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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.