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Finding the Fourth Proportional to 389,206.52, 537,104.76 and 210,358.52

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Solution

The fourth proportional to 389,206.52, 537,104.76 and 210,358.52 is: 290,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,206.52 : 537,104.76 = 210,358.52 : x
  2. Step 2: Convert to fraction form
    389,206.52/537,104.76 = 210,358.52/x
  3. Step 3: Cross multiply
    389,206.52x = 537,104.76 × 210,358.52
  4. Step 4: Simplify right side
    389,206.52x = 112,984,562,398.56
  5. Step 5: Solve for x
    x = 112,984,562,398.56/389,206.52
  6. Step 6: Final answer
    x = 290,294.63

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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.