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Finding the Fourth Proportional to 427,404.48, 641,308.32 and 190,726.08

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Solution

The fourth proportional to 427,404.48, 641,308.32 and 190,726.08 is: 286,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,404.48 : 641,308.32 = 190,726.08 : x
  2. Step 2: Convert to fraction form
    427,404.48/641,308.32 = 190,726.08/x
  3. Step 3: Cross multiply
    427,404.48x = 641,308.32 × 190,726.08
  4. Step 4: Simplify right side
    427,404.48x = 122,314,221,944.99
  5. Step 5: Solve for x
    x = 122,314,221,944.99/427,404.48
  6. Step 6: Final answer
    x = 286,179.08

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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.