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Finding the Fourth Proportional to 557,646.46, 769,556.80 and 302,997.65

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Solution

The fourth proportional to 557,646.46, 769,556.80 and 302,997.65 is: 418,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,646.46 : 769,556.80 = 302,997.65 : x
  2. Step 2: Convert to fraction form
    557,646.46/769,556.80 = 302,997.65/x
  3. Step 3: Cross multiply
    557,646.46x = 769,556.80 × 302,997.65
  4. Step 4: Simplify right side
    557,646.46x = 233,173,898,472.48
  5. Step 5: Solve for x
    x = 233,173,898,472.48/557,646.46
  6. Step 6: Final answer
    x = 418,139.30

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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.