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Finding the Fourth Proportional to 389,538, 537,562.48 and 210,690

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Solution

The fourth proportional to 389,538, 537,562.48 and 210,690 is: 290,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,538 : 537,562.48 = 210,690 : x
  2. Step 2: Convert to fraction form
    389,538/537,562.48 = 210,690/x
  3. Step 3: Cross multiply
    389,538x = 537,562.48 × 210,690
  4. Step 4: Simplify right side
    389,538x = 113,259,038,911.20
  5. Step 5: Solve for x
    x = 113,259,038,911.20/389,538
  6. Step 6: Final answer
    x = 290,752.22

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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.