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Finding the Fourth Proportional to 286,494.82, 429,334.70 and 211,021.46

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Solution

The fourth proportional to 286,494.82, 429,334.70 and 211,021.46 is: 316,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,494.82 : 429,334.70 = 211,021.46 : x
  2. Step 2: Convert to fraction form
    286,494.82/429,334.70 = 211,021.46/x
  3. Step 3: Cross multiply
    286,494.82x = 429,334.70 × 211,021.46
  4. Step 4: Simplify right side
    286,494.82x = 90,598,835,222.66
  5. Step 5: Solve for x
    x = 90,598,835,222.66/286,494.82
  6. Step 6: Final answer
    x = 316,232.02

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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.