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Finding the Fourth Proportional to 668,804.59, 1,003,411.01 and 213,383.71

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Solution

The fourth proportional to 668,804.59, 1,003,411.01 and 213,383.71 is: 320,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,804.59 : 1,003,411.01 = 213,383.71 : x
  2. Step 2: Convert to fraction form
    668,804.59/1,003,411.01 = 213,383.71/x
  3. Step 3: Cross multiply
    668,804.59x = 1,003,411.01 × 213,383.71
  4. Step 4: Simplify right side
    668,804.59x = 214,111,563,968.65
  5. Step 5: Solve for x
    x = 214,111,563,968.65/668,804.59
  6. Step 6: Final answer
    x = 320,140.69

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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.