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Finding the Fourth Proportional to 384,438.67, 530,523.25 and 212,368.48

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Solution

The fourth proportional to 384,438.67, 530,523.25 and 212,368.48 is: 293,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,438.67 : 530,523.25 = 212,368.48 : x
  2. Step 2: Convert to fraction form
    384,438.67/530,523.25 = 212,368.48/x
  3. Step 3: Cross multiply
    384,438.67x = 530,523.25 × 212,368.48
  4. Step 4: Simplify right side
    384,438.67x = 112,666,416,207.16
  5. Step 5: Solve for x
    x = 112,666,416,207.16/384,438.67
  6. Step 6: Final answer
    x = 293,067.33

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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.