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Finding the Fourth Proportional to 289,448.80, 399,460.54 and 174,755.68

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Solution

The fourth proportional to 289,448.80, 399,460.54 and 174,755.68 is: 241,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,448.80 : 399,460.54 = 174,755.68 : x
  2. Step 2: Convert to fraction form
    289,448.80/399,460.54 = 174,755.68/x
  3. Step 3: Cross multiply
    289,448.80x = 399,460.54 × 174,755.68
  4. Step 4: Simplify right side
    289,448.80x = 69,807,998,300.87
  5. Step 5: Solve for x
    x = 69,807,998,300.87/289,448.80
  6. Step 6: Final answer
    x = 241,175.64

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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.