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Finding the Fourth Proportional to 489,216.69, 675,126.23 and 285,261.93

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Solution

The fourth proportional to 489,216.69, 675,126.23 and 285,261.93 is: 393,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,216.69 : 675,126.23 = 285,261.93 : x
  2. Step 2: Convert to fraction form
    489,216.69/675,126.23 = 285,261.93/x
  3. Step 3: Cross multiply
    489,216.69x = 675,126.23 × 285,261.93
  4. Step 4: Simplify right side
    489,216.69x = 192,587,809,937.11
  5. Step 5: Solve for x
    x = 192,587,809,937.11/489,216.69
  6. Step 6: Final answer
    x = 393,665.66

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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.