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Finding the Fourth Proportional to 488,956.86, 674,762.94 and 285,149.16

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Solution

The fourth proportional to 488,956.86, 674,762.94 and 285,149.16 is: 393,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,956.86 : 674,762.94 = 285,149.16 : x
  2. Step 2: Convert to fraction form
    488,956.86/674,762.94 = 285,149.16/x
  3. Step 3: Cross multiply
    488,956.86x = 674,762.94 × 285,149.16
  4. Step 4: Simplify right side
    488,956.86x = 192,408,085,540.13
  5. Step 5: Solve for x
    x = 192,408,085,540.13/488,956.86
  6. Step 6: Final answer
    x = 393,507.28

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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.