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Finding the Fourth Proportional to 475,195.88, 655,770.86 and 257,405

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Solution

The fourth proportional to 475,195.88, 655,770.86 and 257,405 is: 355,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,195.88 : 655,770.86 = 257,405 : x
  2. Step 2: Convert to fraction form
    475,195.88/655,770.86 = 257,405/x
  3. Step 3: Cross multiply
    475,195.88x = 655,770.86 × 257,405
  4. Step 4: Simplify right side
    475,195.88x = 168,798,698,218.30
  5. Step 5: Solve for x
    x = 168,798,698,218.30/475,195.88
  6. Step 6: Final answer
    x = 355,219.20

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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.