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Finding the Fourth Proportional to 421,186.52, 632,074.98 and 243,449

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Solution

The fourth proportional to 421,186.52, 632,074.98 and 243,449 is: 365,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,186.52 : 632,074.98 = 243,449 : x
  2. Step 2: Convert to fraction form
    421,186.52/632,074.98 = 243,449/x
  3. Step 3: Cross multiply
    421,186.52x = 632,074.98 × 243,449
  4. Step 4: Simplify right side
    421,186.52x = 153,878,021,806.02
  5. Step 5: Solve for x
    x = 153,878,021,806.02/421,186.52
  6. Step 6: Final answer
    x = 365,344.13

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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.