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Finding the Fourth Proportional to 520,254.84, 717,739.20 and 412,392

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Solution

The fourth proportional to 520,254.84, 717,739.20 and 412,392 is: 568,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,254.84 : 717,739.20 = 412,392 : x
  2. Step 2: Convert to fraction form
    520,254.84/717,739.20 = 412,392/x
  3. Step 3: Cross multiply
    520,254.84x = 717,739.20 × 412,392
  4. Step 4: Simplify right side
    520,254.84x = 295,989,904,166.40
  5. Step 5: Solve for x
    x = 295,989,904,166.40/520,254.84
  6. Step 6: Final answer
    x = 568,932.53

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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.