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Finding the Fourth Proportional to 474,894.36, 655,355.30 and 257,105.33

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Solution

The fourth proportional to 474,894.36, 655,355.30 and 257,105.33 is: 354,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,894.36 : 655,355.30 = 257,105.33 : x
  2. Step 2: Convert to fraction form
    474,894.36/655,355.30 = 257,105.33/x
  3. Step 3: Cross multiply
    474,894.36x = 655,355.30 × 257,105.33
  4. Step 4: Simplify right side
    474,894.36x = 168,495,336,111.45
  5. Step 5: Solve for x
    x = 168,495,336,111.45/474,894.36
  6. Step 6: Final answer
    x = 354,805.93

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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.