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Finding the Fourth Proportional to 389,509, 537,522.42 and 210,661

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Solution

The fourth proportional to 389,509, 537,522.42 and 210,661 is: 290,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,509 : 537,522.42 = 210,661 : x
  2. Step 2: Convert to fraction form
    389,509/537,522.42 = 210,661/x
  3. Step 3: Cross multiply
    389,509x = 537,522.42 × 210,661
  4. Step 4: Simplify right side
    389,509x = 113,235,010,519.62
  5. Step 5: Solve for x
    x = 113,235,010,519.62/389,509
  6. Step 6: Final answer
    x = 290,712.18

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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.