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Finding the Fourth Proportional to 557,396.92, 769,211.81 and 302,748.04

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Solution

The fourth proportional to 557,396.92, 769,211.81 and 302,748.04 is: 417,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,396.92 : 769,211.81 = 302,748.04 : x
  2. Step 2: Convert to fraction form
    557,396.92/769,211.81 = 302,748.04/x
  3. Step 3: Cross multiply
    557,396.92x = 769,211.81 × 302,748.04
  4. Step 4: Simplify right side
    557,396.92x = 232,877,367,822.35
  5. Step 5: Solve for x
    x = 232,877,367,822.35/557,396.92
  6. Step 6: Final answer
    x = 417,794.50

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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.