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Finding the Fourth Proportional to 385,101.07, 531,398.59 and 212,991.68

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Solution

The fourth proportional to 385,101.07, 531,398.59 and 212,991.68 is: 293,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,101.07 : 531,398.59 = 212,991.68 : x
  2. Step 2: Convert to fraction form
    385,101.07/531,398.59 = 212,991.68/x
  3. Step 3: Cross multiply
    385,101.07x = 531,398.59 × 212,991.68
  4. Step 4: Simplify right side
    385,101.07x = 113,183,477,438.71
  5. Step 5: Solve for x
    x = 113,183,477,438.71/385,101.07
  6. Step 6: Final answer
    x = 293,905.90

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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.