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Finding the Fourth Proportional to 405,004.48, 607,523.04 and 138,791.88

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Solution

The fourth proportional to 405,004.48, 607,523.04 and 138,791.88 is: 208,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,004.48 : 607,523.04 = 138,791.88 : x
  2. Step 2: Convert to fraction form
    405,004.48/607,523.04 = 138,791.88/x
  3. Step 3: Cross multiply
    405,004.48x = 607,523.04 × 138,791.88
  4. Step 4: Simplify right side
    405,004.48x = 84,319,264,864.92
  5. Step 5: Solve for x
    x = 84,319,264,864.92/405,004.48
  6. Step 6: Final answer
    x = 208,193.41

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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.