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Finding the Fourth Proportional to 210,428.40, 315,684.64 and 75,456.40

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Solution

The fourth proportional to 210,428.40, 315,684.64 and 75,456.40 is: 113,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,428.40 : 315,684.64 = 75,456.40 : x
  2. Step 2: Convert to fraction form
    210,428.40/315,684.64 = 75,456.40/x
  3. Step 3: Cross multiply
    210,428.40x = 315,684.64 × 75,456.40
  4. Step 4: Simplify right side
    210,428.40x = 23,820,426,469.70
  5. Step 5: Solve for x
    x = 23,820,426,469.70/210,428.40
  6. Step 6: Final answer
    x = 113,199.67

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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.