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Finding the Fourth Proportional to 642,362.78, 886,876.60 and 413,023.06

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Solution

The fourth proportional to 642,362.78, 886,876.60 and 413,023.06 is: 570,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,362.78 : 886,876.60 = 413,023.06 : x
  2. Step 2: Convert to fraction form
    642,362.78/886,876.60 = 413,023.06/x
  3. Step 3: Cross multiply
    642,362.78x = 886,876.60 × 413,023.06
  4. Step 4: Simplify right side
    642,362.78x = 366,300,487,174.40
  5. Step 5: Solve for x
    x = 366,300,487,174.40/642,362.78
  6. Step 6: Final answer
    x = 570,239.28

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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.