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Finding the Fourth Proportional to 310,852.02, 466,278 and 86,212.45

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Solution

The fourth proportional to 310,852.02, 466,278 and 86,212.45 is: 129,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852.02 : 466,278 = 86,212.45 : x
  2. Step 2: Convert to fraction form
    310,852.02/466,278 = 86,212.45/x
  3. Step 3: Cross multiply
    310,852.02x = 466,278 × 86,212.45
  4. Step 4: Simplify right side
    310,852.02x = 40,198,968,761.10
  5. Step 5: Solve for x
    x = 40,198,968,761.10/310,852.02
  6. Step 6: Final answer
    x = 129,318.67

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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.