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Finding the Fourth Proportional to 310,556.16, 465,511.12 and 210,725.28

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Solution

The fourth proportional to 310,556.16, 465,511.12 and 210,725.28 is: 315,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556.16 : 465,511.12 = 210,725.28 : x
  2. Step 2: Convert to fraction form
    310,556.16/465,511.12 = 210,725.28/x
  3. Step 3: Cross multiply
    310,556.16x = 465,511.12 × 210,725.28
  4. Step 4: Simplify right side
    310,556.16x = 98,094,961,105.11
  5. Step 5: Solve for x
    x = 98,094,961,105.11/310,556.16
  6. Step 6: Final answer
    x = 315,868.67

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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.