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Finding the Fourth Proportional to 489,462.40, 734,461.20 and 189,954.88

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Solution

The fourth proportional to 489,462.40, 734,461.20 and 189,954.88 is: 285,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,462.40 : 734,461.20 = 189,954.88 : x
  2. Step 2: Convert to fraction form
    489,462.40/734,461.20 = 189,954.88/x
  3. Step 3: Cross multiply
    489,462.40x = 734,461.20 × 189,954.88
  4. Step 4: Simplify right side
    489,462.40x = 139,514,489,110.66
  5. Step 5: Solve for x
    x = 139,514,489,110.66/489,462.40
  6. Step 6: Final answer
    x = 285,036.17

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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.