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Finding the Fourth Proportional to 389,248, 537,162.30 and 210,400

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Solution

The fourth proportional to 389,248, 537,162.30 and 210,400 is: 290,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,248 : 537,162.30 = 210,400 : x
  2. Step 2: Convert to fraction form
    389,248/537,162.30 = 210,400/x
  3. Step 3: Cross multiply
    389,248x = 537,162.30 × 210,400
  4. Step 4: Simplify right side
    389,248x = 113,018,947,920.00
  5. Step 5: Solve for x
    x = 113,018,947,920.00/389,248
  6. Step 6: Final answer
    x = 290,352.03

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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.