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Finding the Fourth Proportional to 456,721.60, 640,460 and 456,721.60

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Solution

The fourth proportional to 456,721.60, 640,460 and 456,721.60 is: 640,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,721.60 : 640,460 = 456,721.60 : x
  2. Step 2: Convert to fraction form
    456,721.60/640,460 = 456,721.60/x
  3. Step 3: Cross multiply
    456,721.60x = 640,460 × 456,721.60
  4. Step 4: Simplify right side
    456,721.60x = 292,511,915,936
  5. Step 5: Solve for x
    x = 292,511,915,936/456,721.60
  6. Step 6: Final answer
    x = 640,460

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.