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Finding the Fourth Proportional to 556,783.80, 768,378.70 and 327,298.98

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Solution

The fourth proportional to 556,783.80, 768,378.70 and 327,298.98 is: 451,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,783.80 : 768,378.70 = 327,298.98 : x
  2. Step 2: Convert to fraction form
    556,783.80/768,378.70 = 327,298.98/x
  3. Step 3: Cross multiply
    556,783.80x = 768,378.70 × 327,298.98
  4. Step 4: Simplify right side
    556,783.80x = 251,489,564,763.73
  5. Step 5: Solve for x
    x = 251,489,564,763.73/556,783.80
  6. Step 6: Final answer
    x = 451,682.62

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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.