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Finding the Fourth Proportional to 389,826.08, 537,960 and 210,978.08

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Solution

The fourth proportional to 389,826.08, 537,960 and 210,978.08 is: 291,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,826.08 : 537,960 = 210,978.08 : x
  2. Step 2: Convert to fraction form
    389,826.08/537,960 = 210,978.08/x
  3. Step 3: Cross multiply
    389,826.08x = 537,960 × 210,978.08
  4. Step 4: Simplify right side
    389,826.08x = 113,497,767,916.80
  5. Step 5: Solve for x
    x = 113,497,767,916.80/389,826.08
  6. Step 6: Final answer
    x = 291,149.76

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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.