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Finding the Fourth Proportional to 384,268.20, 530,268.12 and 214,513.08

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Solution

The fourth proportional to 384,268.20, 530,268.12 and 214,513.08 is: 296,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,268.20 : 530,268.12 = 214,513.08 : x
  2. Step 2: Convert to fraction form
    384,268.20/530,268.12 = 214,513.08/x
  3. Step 3: Cross multiply
    384,268.20x = 530,268.12 × 214,513.08
  4. Step 4: Simplify right side
    384,268.20x = 113,749,447,647.01
  5. Step 5: Solve for x
    x = 113,749,447,647.01/384,268.20
  6. Step 6: Final answer
    x = 296,015.77

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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.