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Finding the Fourth Proportional to 488,948, 674,750.67 and 285,140.26

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Solution

The fourth proportional to 488,948, 674,750.67 and 285,140.26 is: 393,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,948 : 674,750.67 = 285,140.26 : x
  2. Step 2: Convert to fraction form
    488,948/674,750.67 = 285,140.26/x
  3. Step 3: Cross multiply
    488,948x = 674,750.67 × 285,140.26
  4. Step 4: Simplify right side
    488,948x = 192,398,578,105.22
  5. Step 5: Solve for x
    x = 192,398,578,105.22/488,948
  6. Step 6: Final answer
    x = 393,494.97

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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.