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Finding the Fourth Proportional to 389,378, 537,341.64 and 210,530

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Solution

The fourth proportional to 389,378, 537,341.64 and 210,530 is: 290,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,378 : 537,341.64 = 210,530 : x
  2. Step 2: Convert to fraction form
    389,378/537,341.64 = 210,530/x
  3. Step 3: Cross multiply
    389,378x = 537,341.64 × 210,530
  4. Step 4: Simplify right side
    389,378x = 113,126,535,469.20
  5. Step 5: Solve for x
    x = 113,126,535,469.20/389,378
  6. Step 6: Final answer
    x = 290,531.40

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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.