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Finding the Fourth Proportional to 666,971.66, 920,418.98 and 365,163.50

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Solution

The fourth proportional to 666,971.66, 920,418.98 and 365,163.50 is: 503,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,971.66 : 920,418.98 = 365,163.50 : x
  2. Step 2: Convert to fraction form
    666,971.66/920,418.98 = 365,163.50/x
  3. Step 3: Cross multiply
    666,971.66x = 920,418.98 × 365,163.50
  4. Step 4: Simplify right side
    666,971.66x = 336,103,416,203.23
  5. Step 5: Solve for x
    x = 336,103,416,203.23/666,971.66
  6. Step 6: Final answer
    x = 503,924.58

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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.