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Finding the Fourth Proportional to 389,825.54, 537,959.32 and 210,977.54

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Solution

The fourth proportional to 389,825.54, 537,959.32 and 210,977.54 is: 291,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,825.54 : 537,959.32 = 210,977.54 : x
  2. Step 2: Convert to fraction form
    389,825.54/537,959.32 = 210,977.54/x
  3. Step 3: Cross multiply
    389,825.54x = 537,959.32 × 210,977.54
  4. Step 4: Simplify right side
    389,825.54x = 113,497,333,953.67
  5. Step 5: Solve for x
    x = 113,497,333,953.67/389,825.54
  6. Step 6: Final answer
    x = 291,149.05

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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.