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Finding the Fourth Proportional to 464,388.21, 640,818.41 and 257,663.25

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Solution

The fourth proportional to 464,388.21, 640,818.41 and 257,663.25 is: 355,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,388.21 : 640,818.41 = 257,663.25 : x
  2. Step 2: Convert to fraction form
    464,388.21/640,818.41 = 257,663.25/x
  3. Step 3: Cross multiply
    464,388.21x = 640,818.41 × 257,663.25
  4. Step 4: Simplify right side
    464,388.21x = 165,115,352,892.12
  5. Step 5: Solve for x
    x = 165,115,352,892.12/464,388.21
  6. Step 6: Final answer
    x = 355,554.58

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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.