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Finding the Fourth Proportional to 463,925.36, 640,184.65 and 257,191.70

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Solution

The fourth proportional to 463,925.36, 640,184.65 and 257,191.70 is: 354,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,925.36 : 640,184.65 = 257,191.70 : x
  2. Step 2: Convert to fraction form
    463,925.36/640,184.65 = 257,191.70/x
  3. Step 3: Cross multiply
    463,925.36x = 640,184.65 × 257,191.70
  4. Step 4: Simplify right side
    463,925.36x = 164,650,177,161.45
  5. Step 5: Solve for x
    x = 164,650,177,161.45/463,925.36
  6. Step 6: Final answer
    x = 354,906.61

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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.