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Finding the Fourth Proportional to 665,992.98, 919,051.65 and 364,180.50

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Solution

The fourth proportional to 665,992.98, 919,051.65 and 364,180.50 is: 502,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,992.98 : 919,051.65 = 364,180.50 : x
  2. Step 2: Convert to fraction form
    665,992.98/919,051.65 = 364,180.50/x
  3. Step 3: Cross multiply
    665,992.98x = 919,051.65 × 364,180.50
  4. Step 4: Simplify right side
    665,992.98x = 334,700,689,422.83
  5. Step 5: Solve for x
    x = 334,700,689,422.83/665,992.98
  6. Step 6: Final answer
    x = 502,558.88

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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.