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Finding the Fourth Proportional to 575,638.25, 794,382.66 and 321,005.84

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Solution

The fourth proportional to 575,638.25, 794,382.66 and 321,005.84 is: 442,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,638.25 : 794,382.66 = 321,005.84 : x
  2. Step 2: Convert to fraction form
    575,638.25/794,382.66 = 321,005.84/x
  3. Step 3: Cross multiply
    575,638.25x = 794,382.66 × 321,005.84
  4. Step 4: Simplify right side
    575,638.25x = 255,001,469,082.82
  5. Step 5: Solve for x
    x = 255,001,469,082.82/575,638.25
  6. Step 6: Final answer
    x = 442,989.10

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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.