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Finding the Fourth Proportional to 489,075.76, 674,887.71 and 274,210.30

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Solution

The fourth proportional to 489,075.76, 674,887.71 and 274,210.30 is: 378,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,075.76 : 674,887.71 = 274,210.30 : x
  2. Step 2: Convert to fraction form
    489,075.76/674,887.71 = 274,210.30/x
  3. Step 3: Cross multiply
    489,075.76x = 674,887.71 × 274,210.30
  4. Step 4: Simplify right side
    489,075.76x = 185,061,161,425.41
  5. Step 5: Solve for x
    x = 185,061,161,425.41/489,075.76
  6. Step 6: Final answer
    x = 378,389.56

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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.