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Finding the Fourth Proportional to 472,717.32, 652,354.07 and 257,858.34

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Solution

The fourth proportional to 472,717.32, 652,354.07 and 257,858.34 is: 355,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,717.32 : 652,354.07 = 257,858.34 : x
  2. Step 2: Convert to fraction form
    472,717.32/652,354.07 = 257,858.34/x
  3. Step 3: Cross multiply
    472,717.32x = 652,354.07 × 257,858.34
  4. Step 4: Simplify right side
    472,717.32x = 168,214,936,293.15
  5. Step 5: Solve for x
    x = 168,214,936,293.15/472,717.32
  6. Step 6: Final answer
    x = 355,846.78

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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.