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Finding the Fourth Proportional to 557,854.60, 769,844.02 and 303,205.72

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Solution

The fourth proportional to 557,854.60, 769,844.02 and 303,205.72 is: 418,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,854.60 : 769,844.02 = 303,205.72 : x
  2. Step 2: Convert to fraction form
    557,854.60/769,844.02 = 303,205.72/x
  3. Step 3: Cross multiply
    557,854.60x = 769,844.02 × 303,205.72
  4. Step 4: Simplify right side
    557,854.60x = 233,421,110,371.79
  5. Step 5: Solve for x
    x = 233,421,110,371.79/557,854.60
  6. Step 6: Final answer
    x = 418,426.43

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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.