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Finding the Fourth Proportional to 557,114.52, 768,815.88 and 302,465.64

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Solution

The fourth proportional to 557,114.52, 768,815.88 and 302,465.64 is: 417,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,114.52 : 768,815.88 = 302,465.64 : x
  2. Step 2: Convert to fraction form
    557,114.52/768,815.88 = 302,465.64/x
  3. Step 3: Cross multiply
    557,114.52x = 768,815.88 × 302,465.64
  4. Step 4: Simplify right side
    557,114.52x = 232,540,387,186.36
  5. Step 5: Solve for x
    x = 232,540,387,186.36/557,114.52
  6. Step 6: Final answer
    x = 417,401.41

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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.