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Finding the Fourth Proportional to 557,161.86, 768,871.76 and 302,513.24

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Solution

The fourth proportional to 557,161.86, 768,871.76 and 302,513.24 is: 417,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,161.86 : 768,871.76 = 302,513.24 : x
  2. Step 2: Convert to fraction form
    557,161.86/768,871.76 = 302,513.24/x
  3. Step 3: Cross multiply
    557,161.86x = 768,871.76 × 302,513.24
  4. Step 4: Simplify right side
    557,161.86x = 232,593,887,262.10
  5. Step 5: Solve for x
    x = 232,593,887,262.10/557,161.86
  6. Step 6: Final answer
    x = 417,461.97

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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.