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Finding the Fourth Proportional to 489,605.04, 734,442.48 and 205,009.20

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Solution

The fourth proportional to 489,605.04, 734,442.48 and 205,009.20 is: 307,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,605.04 : 734,442.48 = 205,009.20 : x
  2. Step 2: Convert to fraction form
    489,605.04/734,442.48 = 205,009.20/x
  3. Step 3: Cross multiply
    489,605.04x = 734,442.48 × 205,009.20
  4. Step 4: Simplify right side
    489,605.04x = 150,567,465,270.82
  5. Step 5: Solve for x
    x = 150,567,465,270.82/489,605.04
  6. Step 6: Final answer
    x = 307,528.42

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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.