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Finding the Fourth Proportional to 557,909.28, 769,910.40 and 303,253.92

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Solution

The fourth proportional to 557,909.28, 769,910.40 and 303,253.92 is: 418,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,909.28 : 769,910.40 = 303,253.92 : x
  2. Step 2: Convert to fraction form
    557,909.28/769,910.40 = 303,253.92/x
  3. Step 3: Cross multiply
    557,909.28x = 769,910.40 × 303,253.92
  4. Step 4: Simplify right side
    557,909.28x = 233,478,346,848.77
  5. Step 5: Solve for x
    x = 233,478,346,848.77/557,909.28
  6. Step 6: Final answer
    x = 418,488.01

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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.