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Finding the Fourth Proportional to 300,374.40, 414,510.36 and 164,405.16

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Solution

The fourth proportional to 300,374.40, 414,510.36 and 164,405.16 is: 226,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,374.40 : 414,510.36 = 164,405.16 : x
  2. Step 2: Convert to fraction form
    300,374.40/414,510.36 = 164,405.16/x
  3. Step 3: Cross multiply
    300,374.40x = 414,510.36 × 164,405.16
  4. Step 4: Simplify right side
    300,374.40x = 68,147,642,057.46
  5. Step 5: Solve for x
    x = 68,147,642,057.46/300,374.40
  6. Step 6: Final answer
    x = 226,875.67

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1.5x scale

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.