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Finding the Fourth Proportional to 453,782.84, 680,679.73 and 138,242.48

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Solution

The fourth proportional to 453,782.84, 680,679.73 and 138,242.48 is: 207,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,782.84 : 680,679.73 = 138,242.48 : x
  2. Step 2: Convert to fraction form
    453,782.84/680,679.73 = 138,242.48/x
  3. Step 3: Cross multiply
    453,782.84x = 680,679.73 × 138,242.48
  4. Step 4: Simplify right side
    453,782.84x = 94,098,853,960.93
  5. Step 5: Solve for x
    x = 94,098,853,960.93/453,782.84
  6. Step 6: Final answer
    x = 207,365.39

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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.