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Finding the Fourth Proportional to 425,409.68, 637,273.82 and 256,431.08

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Solution

The fourth proportional to 425,409.68, 637,273.82 and 256,431.08 is: 384,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,409.68 : 637,273.82 = 256,431.08 : x
  2. Step 2: Convert to fraction form
    425,409.68/637,273.82 = 256,431.08/x
  3. Step 3: Cross multiply
    425,409.68x = 637,273.82 × 256,431.08
  4. Step 4: Simplify right side
    425,409.68x = 163,416,813,918.33
  5. Step 5: Solve for x
    x = 163,416,813,918.33/425,409.68
  6. Step 6: Final answer
    x = 384,139.86

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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.