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Finding the Fourth Proportional to 340,900.83, 470,433.56 and 213,646.59

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Solution

The fourth proportional to 340,900.83, 470,433.56 and 213,646.59 is: 294,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,900.83 : 470,433.56 = 213,646.59 : x
  2. Step 2: Convert to fraction form
    340,900.83/470,433.56 = 213,646.59/x
  3. Step 3: Cross multiply
    340,900.83x = 470,433.56 × 213,646.59
  4. Step 4: Simplify right side
    340,900.83x = 100,506,524,847.33
  5. Step 5: Solve for x
    x = 100,506,524,847.33/340,900.83
  6. Step 6: Final answer
    x = 294,826.28

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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.