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Finding the Fourth Proportional to 389,796, 537,919.92 and 210,948

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Solution

The fourth proportional to 389,796, 537,919.92 and 210,948 is: 291,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,796 : 537,919.92 = 210,948 : x
  2. Step 2: Convert to fraction form
    389,796/537,919.92 = 210,948/x
  3. Step 3: Cross multiply
    389,796x = 537,919.92 × 210,948
  4. Step 4: Simplify right side
    389,796x = 113,473,131,284.16
  5. Step 5: Solve for x
    x = 113,473,131,284.16/389,796
  6. Step 6: Final answer
    x = 291,109.02

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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.