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Finding the Fourth Proportional to 389,804.25, 537,929.87 and 210,956.25

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Solution

The fourth proportional to 389,804.25, 537,929.87 and 210,956.25 is: 291,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,804.25 : 537,929.87 = 210,956.25 : x
  2. Step 2: Convert to fraction form
    389,804.25/537,929.87 = 210,956.25/x
  3. Step 3: Cross multiply
    389,804.25x = 537,929.87 × 210,956.25
  4. Step 4: Simplify right side
    389,804.25x = 113,479,667,083.41
  5. Step 5: Solve for x
    x = 113,479,667,083.41/389,804.25
  6. Step 6: Final answer
    x = 291,119.63

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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.