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Finding the Fourth Proportional to 557,531.60, 769,459.56 and 331,178

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Solution

The fourth proportional to 557,531.60, 769,459.56 and 331,178 is: 457,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,531.60 : 769,459.56 = 331,178 : x
  2. Step 2: Convert to fraction form
    557,531.60/769,459.56 = 331,178/x
  3. Step 3: Cross multiply
    557,531.60x = 769,459.56 × 331,178
  4. Step 4: Simplify right side
    557,531.60x = 254,828,078,161.68
  5. Step 5: Solve for x
    x = 254,828,078,161.68/557,531.60
  6. Step 6: Final answer
    x = 457,064.82

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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.