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Finding the Fourth Proportional to 274,671.29, 410,869.49 and 257,875.13

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Solution

The fourth proportional to 274,671.29, 410,869.49 and 257,875.13 is: 385,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,671.29 : 410,869.49 = 257,875.13 : x
  2. Step 2: Convert to fraction form
    274,671.29/410,869.49 = 257,875.13/x
  3. Step 3: Cross multiply
    274,671.29x = 410,869.49 × 257,875.13
  4. Step 4: Simplify right side
    274,671.29x = 105,953,019,803.06
  5. Step 5: Solve for x
    x = 105,953,019,803.06/274,671.29
  6. Step 6: Final answer
    x = 385,744.80

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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.