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Finding the Fourth Proportional to 300,211.98, 412,558.64 and 286,334.70

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Solution

The fourth proportional to 300,211.98, 412,558.64 and 286,334.70 is: 393,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,211.98 : 412,558.64 = 286,334.70 : x
  2. Step 2: Convert to fraction form
    300,211.98/412,558.64 = 286,334.70/x
  3. Step 3: Cross multiply
    300,211.98x = 412,558.64 × 286,334.70
  4. Step 4: Simplify right side
    300,211.98x = 118,129,852,985.14
  5. Step 5: Solve for x
    x = 118,129,852,985.14/300,211.98
  6. Step 6: Final answer
    x = 393,488.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.