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Finding the Fourth Proportional to 380,300.14, 571,010.91 and 212,149

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Solution

The fourth proportional to 380,300.14, 571,010.91 and 212,149 is: 318,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,300.14 : 571,010.91 = 212,149 : x
  2. Step 2: Convert to fraction form
    380,300.14/571,010.91 = 212,149/x
  3. Step 3: Cross multiply
    380,300.14x = 571,010.91 × 212,149
  4. Step 4: Simplify right side
    380,300.14x = 121,139,393,545.59
  5. Step 5: Solve for x
    x = 121,139,393,545.59/380,300.14
  6. Step 6: Final answer
    x = 318,536.28

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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.