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Finding the Fourth Proportional to 389,444, 537,432.75 and 210,596

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Solution

The fourth proportional to 389,444, 537,432.75 and 210,596 is: 290,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,444 : 537,432.75 = 210,596 : x
  2. Step 2: Convert to fraction form
    389,444/537,432.75 = 210,596/x
  3. Step 3: Cross multiply
    389,444x = 537,432.75 × 210,596
  4. Step 4: Simplify right side
    389,444x = 113,181,187,419
  5. Step 5: Solve for x
    x = 113,181,187,419/389,444
  6. Step 6: Final answer
    x = 290,622.50

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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.