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Finding the Fourth Proportional to 557,184, 768,913.92 and 318,720

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Solution

The fourth proportional to 557,184, 768,913.92 and 318,720 is: 439,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,184 : 768,913.92 = 318,720 : x
  2. Step 2: Convert to fraction form
    557,184/768,913.92 = 318,720/x
  3. Step 3: Cross multiply
    557,184x = 768,913.92 × 318,720
  4. Step 4: Simplify right side
    557,184x = 245,068,244,582.40
  5. Step 5: Solve for x
    x = 245,068,244,582.40/557,184
  6. Step 6: Final answer
    x = 439,833.60

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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.