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Finding the Fourth Proportional to 489,657.29, 675,740.48 and 274,810.66

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Solution

The fourth proportional to 489,657.29, 675,740.48 and 274,810.66 is: 379,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,657.29 : 675,740.48 = 274,810.66 : x
  2. Step 2: Convert to fraction form
    489,657.29/675,740.48 = 274,810.66/x
  3. Step 3: Cross multiply
    489,657.29x = 675,740.48 × 274,810.66
  4. Step 4: Simplify right side
    489,657.29x = 185,700,684,234.11
  5. Step 5: Solve for x
    x = 185,700,684,234.11/489,657.29
  6. Step 6: Final answer
    x = 379,246.24

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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.