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Finding the Fourth Proportional to 475,332, 655,958.16 and 274,128

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Solution

The fourth proportional to 475,332, 655,958.16 and 274,128 is: 378,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,332 : 655,958.16 = 274,128 : x
  2. Step 2: Convert to fraction form
    475,332/655,958.16 = 274,128/x
  3. Step 3: Cross multiply
    475,332x = 655,958.16 × 274,128
  4. Step 4: Simplify right side
    475,332x = 179,816,498,484.48
  5. Step 5: Solve for x
    x = 179,816,498,484.48/475,332
  6. Step 6: Final answer
    x = 378,296.64

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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.