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Finding the Fourth Proportional to 273,428.10, 410,142.15 and 256,806.90

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Solution

The fourth proportional to 273,428.10, 410,142.15 and 256,806.90 is: 385,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,428.10 : 410,142.15 = 256,806.90 : x
  2. Step 2: Convert to fraction form
    273,428.10/410,142.15 = 256,806.90/x
  3. Step 3: Cross multiply
    273,428.10x = 410,142.15 × 256,806.90
  4. Step 4: Simplify right side
    273,428.10x = 105,327,334,100.84
  5. Step 5: Solve for x
    x = 105,327,334,100.84/273,428.10
  6. Step 6: Final answer
    x = 385,210.35

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1.5x scale

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.