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Finding the Fourth Proportional to 389,364.52, 537,323.06 and 210,516.52

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Solution

The fourth proportional to 389,364.52, 537,323.06 and 210,516.52 is: 290,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,364.52 : 537,323.06 = 210,516.52 : x
  2. Step 2: Convert to fraction form
    389,364.52/537,323.06 = 210,516.52/x
  3. Step 3: Cross multiply
    389,364.52x = 537,323.06 × 210,516.52
  4. Step 4: Simplify right side
    389,364.52x = 113,115,380,706.95
  5. Step 5: Solve for x
    x = 113,115,380,706.95/389,364.52
  6. Step 6: Final answer
    x = 290,512.81

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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.