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Finding the Fourth Proportional to 489,873.20, 675,978.36 and 274,964

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Solution

The fourth proportional to 489,873.20, 675,978.36 and 274,964 is: 379,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,873.20 : 675,978.36 = 274,964 : x
  2. Step 2: Convert to fraction form
    489,873.20/675,978.36 = 274,964/x
  3. Step 3: Cross multiply
    489,873.20x = 675,978.36 × 274,964
  4. Step 4: Simplify right side
    489,873.20x = 185,869,713,779.04
  5. Step 5: Solve for x
    x = 185,869,713,779.04/489,873.20
  6. Step 6: Final answer
    x = 379,424.13

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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.