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Finding the Fourth Proportional to 557,006.47, 768,668.26 and 302,357.67

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Solution

The fourth proportional to 557,006.47, 768,668.26 and 302,357.67 is: 417,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,006.47 : 768,668.26 = 302,357.67 : x
  2. Step 2: Convert to fraction form
    557,006.47/768,668.26 = 302,357.67/x
  3. Step 3: Cross multiply
    557,006.47x = 768,668.26 × 302,357.67
  4. Step 4: Simplify right side
    557,006.47x = 232,412,744,096.55
  5. Step 5: Solve for x
    x = 232,412,744,096.55/557,006.47
  6. Step 6: Final answer
    x = 417,253.22

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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.