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Finding the Fourth Proportional to 492,618.54, 679,821.12 and 288,620.64

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Solution

The fourth proportional to 492,618.54, 679,821.12 and 288,620.64 is: 398,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,618.54 : 679,821.12 = 288,620.64 : x
  2. Step 2: Convert to fraction form
    492,618.54/679,821.12 = 288,620.64/x
  3. Step 3: Cross multiply
    492,618.54x = 679,821.12 × 288,620.64
  4. Step 4: Simplify right side
    492,618.54x = 196,210,406,739.92
  5. Step 5: Solve for x
    x = 196,210,406,739.92/492,618.54
  6. Step 6: Final answer
    x = 398,300.90

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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.