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Finding the Fourth Proportional to 389,427, 537,409.29 and 210,579

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Solution

The fourth proportional to 389,427, 537,409.29 and 210,579 is: 290,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,427 : 537,409.29 = 210,579 : x
  2. Step 2: Convert to fraction form
    389,427/537,409.29 = 210,579/x
  3. Step 3: Cross multiply
    389,427x = 537,409.29 × 210,579
  4. Step 4: Simplify right side
    389,427x = 113,167,110,878.91
  5. Step 5: Solve for x
    x = 113,167,110,878.91/389,427
  6. Step 6: Final answer
    x = 290,599.04

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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.