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Finding the Fourth Proportional to 547,953.12, 821,543.31 and 210,710.43

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Solution

The fourth proportional to 547,953.12, 821,543.31 and 210,710.43 is: 315,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,953.12 : 821,543.31 = 210,710.43 : x
  2. Step 2: Convert to fraction form
    547,953.12/821,543.31 = 210,710.43/x
  3. Step 3: Cross multiply
    547,953.12x = 821,543.31 × 210,710.43
  4. Step 4: Simplify right side
    547,953.12x = 173,107,744,113.72
  5. Step 5: Solve for x
    x = 173,107,744,113.72/547,953.12
  6. Step 6: Final answer
    x = 315,917.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.