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Finding the Fourth Proportional to 557,258.64, 769,213.12 and 330,902.52

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Solution

The fourth proportional to 557,258.64, 769,213.12 and 330,902.52 is: 456,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,258.64 : 769,213.12 = 330,902.52 : x
  2. Step 2: Convert to fraction form
    557,258.64/769,213.12 = 330,902.52/x
  3. Step 3: Cross multiply
    557,258.64x = 769,213.12 × 330,902.52
  4. Step 4: Simplify right side
    557,258.64x = 254,534,559,825.06
  5. Step 5: Solve for x
    x = 254,534,559,825.06/557,258.64
  6. Step 6: Final answer
    x = 456,761.98

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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.