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Finding the Fourth Proportional to 488,764, 674,254.65 and 424,142.56

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Solution

The fourth proportional to 488,764, 674,254.65 and 424,142.56 is: 585,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,764 : 674,254.65 = 424,142.56 : x
  2. Step 2: Convert to fraction form
    488,764/674,254.65 = 424,142.56/x
  3. Step 3: Cross multiply
    488,764x = 674,254.65 × 424,142.56
  4. Step 4: Simplify right side
    488,764x = 285,980,093,342.90
  5. Step 5: Solve for x
    x = 285,980,093,342.90/488,764
  6. Step 6: Final answer
    x = 585,108.75

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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.