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Finding the Fourth Proportional to 342,636.21, 473,052.42 and 220,178.16

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Solution

The fourth proportional to 342,636.21, 473,052.42 and 220,178.16 is: 303,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,636.21 : 473,052.42 = 220,178.16 : x
  2. Step 2: Convert to fraction form
    342,636.21/473,052.42 = 220,178.16/x
  3. Step 3: Cross multiply
    342,636.21x = 473,052.42 × 220,178.16
  4. Step 4: Simplify right side
    342,636.21x = 104,155,811,419.15
  5. Step 5: Solve for x
    x = 104,155,811,419.15/342,636.21
  6. Step 6: Final answer
    x = 303,983.67

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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.