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Finding the Fourth Proportional to 668,803.84, 1,003,409.88 and 213,382.96

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Solution

The fourth proportional to 668,803.84, 1,003,409.88 and 213,382.96 is: 320,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,803.84 : 1,003,409.88 = 213,382.96 : x
  2. Step 2: Convert to fraction form
    668,803.84/1,003,409.88 = 213,382.96/x
  3. Step 3: Cross multiply
    668,803.84x = 1,003,409.88 × 213,382.96
  4. Step 4: Simplify right side
    668,803.84x = 214,110,570,287.65
  5. Step 5: Solve for x
    x = 214,110,570,287.65/668,803.84
  6. Step 6: Final answer
    x = 320,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.