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Finding the Fourth Proportional to 286,493.82, 429,333.21 and 211,020.45

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Solution

The fourth proportional to 286,493.82, 429,333.21 and 211,020.45 is: 316,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,493.82 : 429,333.21 = 211,020.45 : x
  2. Step 2: Convert to fraction form
    286,493.82/429,333.21 = 211,020.45/x
  3. Step 3: Cross multiply
    286,493.82x = 429,333.21 × 211,020.45
  4. Step 4: Simplify right side
    286,493.82x = 90,598,087,174.14
  5. Step 5: Solve for x
    x = 90,598,087,174.14/286,493.82
  6. Step 6: Final answer
    x = 316,230.51

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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.