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Finding the Fourth Proportional to 472,794.09, 652,433.09 and 257,921.34

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Solution

The fourth proportional to 472,794.09, 652,433.09 and 257,921.34 is: 355,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,794.09 : 652,433.09 = 257,921.34 : x
  2. Step 2: Convert to fraction form
    472,794.09/652,433.09 = 257,921.34/x
  3. Step 3: Cross multiply
    472,794.09x = 652,433.09 × 257,921.34
  4. Step 4: Simplify right side
    472,794.09x = 168,276,416,833.14
  5. Step 5: Solve for x
    x = 168,276,416,833.14/472,794.09
  6. Step 6: Final answer
    x = 355,919.04

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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.