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Finding the Fourth Proportional to 310,495.20, 465,742.80 and 100,133.14

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Solution

The fourth proportional to 310,495.20, 465,742.80 and 100,133.14 is: 150,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,495.20 : 465,742.80 = 100,133.14 : x
  2. Step 2: Convert to fraction form
    310,495.20/465,742.80 = 100,133.14/x
  3. Step 3: Cross multiply
    310,495.20x = 465,742.80 × 100,133.14
  4. Step 4: Simplify right side
    310,495.20x = 46,636,288,996.39
  5. Step 5: Solve for x
    x = 46,636,288,996.39/310,495.20
  6. Step 6: Final answer
    x = 150,199.71

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1.5x scale

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.