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Finding the Fourth Proportional to 509,852.88, 703,601.48 and 283,507.92

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Solution

The fourth proportional to 509,852.88, 703,601.48 and 283,507.92 is: 391,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,852.88 : 703,601.48 = 283,507.92 : x
  2. Step 2: Convert to fraction form
    509,852.88/703,601.48 = 283,507.92/x
  3. Step 3: Cross multiply
    509,852.88x = 703,601.48 × 283,507.92
  4. Step 4: Simplify right side
    509,852.88x = 199,476,592,103.72
  5. Step 5: Solve for x
    x = 199,476,592,103.72/509,852.88
  6. Step 6: Final answer
    x = 391,243.43

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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.