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Finding the Fourth Proportional to 389,694, 537,777.72 and 210,846

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Solution

The fourth proportional to 389,694, 537,777.72 and 210,846 is: 290,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,694 : 537,777.72 = 210,846 : x
  2. Step 2: Convert to fraction form
    389,694/537,777.72 = 210,846/x
  3. Step 3: Cross multiply
    389,694x = 537,777.72 × 210,846
  4. Step 4: Simplify right side
    389,694x = 113,388,281,151.12
  5. Step 5: Solve for x
    x = 113,388,281,151.12/389,694
  6. Step 6: Final answer
    x = 290,967.48

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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.