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Finding the Fourth Proportional to 648,999.10, 972,915.45 and 412,219.90

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Solution

The fourth proportional to 648,999.10, 972,915.45 and 412,219.90 is: 617,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,999.10 : 972,915.45 = 412,219.90 : x
  2. Step 2: Convert to fraction form
    648,999.10/972,915.45 = 412,219.90/x
  3. Step 3: Cross multiply
    648,999.10x = 972,915.45 × 412,219.90
  4. Step 4: Simplify right side
    648,999.10x = 401,055,109,507.46
  5. Step 5: Solve for x
    x = 401,055,109,507.46/648,999.10
  6. Step 6: Final answer
    x = 617,959.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.