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Finding the Fourth Proportional to 538,525.98, 743,156.10 and 293,512.86

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Solution

The fourth proportional to 538,525.98, 743,156.10 and 293,512.86 is: 405,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,525.98 : 743,156.10 = 293,512.86 : x
  2. Step 2: Convert to fraction form
    538,525.98/743,156.10 = 293,512.86/x
  3. Step 3: Cross multiply
    538,525.98x = 743,156.10 × 293,512.86
  4. Step 4: Simplify right side
    538,525.98x = 218,125,872,337.45
  5. Step 5: Solve for x
    x = 218,125,872,337.45/538,525.98
  6. Step 6: Final answer
    x = 405,042.43

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1.5x scale

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.