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Finding the Fourth Proportional to 489,455.40, 733,964.40 and 189,836.40

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Solution

The fourth proportional to 489,455.40, 733,964.40 and 189,836.40 is: 284,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,455.40 : 733,964.40 = 189,836.40 : x
  2. Step 2: Convert to fraction form
    489,455.40/733,964.40 = 189,836.40/x
  3. Step 3: Cross multiply
    489,455.40x = 733,964.40 × 189,836.40
  4. Step 4: Simplify right side
    489,455.40x = 139,333,159,424.16
  5. Step 5: Solve for x
    x = 139,333,159,424.16/489,455.40
  6. Step 6: Final answer
    x = 284,669.78

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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.