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Finding the Fourth Proportional to 380,265.36, 570,958.80 and 212,114.22

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Solution

The fourth proportional to 380,265.36, 570,958.80 and 212,114.22 is: 318,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,265.36 : 570,958.80 = 212,114.22 : x
  2. Step 2: Convert to fraction form
    380,265.36/570,958.80 = 212,114.22/x
  3. Step 3: Cross multiply
    380,265.36x = 570,958.80 × 212,114.22
  4. Step 4: Simplify right side
    380,265.36x = 121,108,480,514.14
  5. Step 5: Solve for x
    x = 121,108,480,514.14/380,265.36
  6. Step 6: Final answer
    x = 318,484.13

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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.