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Finding the Fourth Proportional to 557,048.81, 768,736.71 and 302,400

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Solution

The fourth proportional to 557,048.81, 768,736.71 and 302,400 is: 417,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,048.81 : 768,736.71 = 302,400 : x
  2. Step 2: Convert to fraction form
    557,048.81/768,736.71 = 302,400/x
  3. Step 3: Cross multiply
    557,048.81x = 768,736.71 × 302,400
  4. Step 4: Simplify right side
    557,048.81x = 232,465,981,104
  5. Step 5: Solve for x
    x = 232,465,981,104/557,048.81
  6. Step 6: Final answer
    x = 417,317.08

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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.