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Finding the Fourth Proportional to 520,143.12, 717,761.25 and 293,744.88

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Solution

The fourth proportional to 520,143.12, 717,761.25 and 293,744.88 is: 405,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,143.12 : 717,761.25 = 293,744.88 : x
  2. Step 2: Convert to fraction form
    520,143.12/717,761.25 = 293,744.88/x
  3. Step 3: Cross multiply
    520,143.12x = 717,761.25 × 293,744.88
  4. Step 4: Simplify right side
    520,143.12x = 210,838,692,249.90
  5. Step 5: Solve for x
    x = 210,838,692,249.90/520,143.12
  6. Step 6: Final answer
    x = 405,347.46

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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.