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Finding the Fourth Proportional to 299,457.39, 412,758.81 and 212,271.69

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Solution

The fourth proportional to 299,457.39, 412,758.81 and 212,271.69 is: 292,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,457.39 : 412,758.81 = 212,271.69 : x
  2. Step 2: Convert to fraction form
    299,457.39/412,758.81 = 212,271.69/x
  3. Step 3: Cross multiply
    299,457.39x = 412,758.81 × 212,271.69
  4. Step 4: Simplify right side
    299,457.39x = 87,617,010,161.09
  5. Step 5: Solve for x
    x = 87,617,010,161.09/299,457.39
  6. Step 6: Final answer
    x = 292,585.90

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1.5x scale

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.