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Finding the Fourth Proportional to 666,896.50, 920,317.22 and 365,090.50

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Solution

The fourth proportional to 666,896.50, 920,317.22 and 365,090.50 is: 503,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,896.50 : 920,317.22 = 365,090.50 : x
  2. Step 2: Convert to fraction form
    666,896.50/920,317.22 = 365,090.50/x
  3. Step 3: Cross multiply
    666,896.50x = 920,317.22 × 365,090.50
  4. Step 4: Simplify right side
    666,896.50x = 335,999,074,008.41
  5. Step 5: Solve for x
    x = 335,999,074,008.41/666,896.50
  6. Step 6: Final answer
    x = 503,824.92

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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.