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Finding the Fourth Proportional to 557,167.86, 768,894.71 and 302,519.05

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Solution

The fourth proportional to 557,167.86, 768,894.71 and 302,519.05 is: 417,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,167.86 : 768,894.71 = 302,519.05 : x
  2. Step 2: Convert to fraction form
    557,167.86/768,894.71 = 302,519.05/x
  3. Step 3: Cross multiply
    557,167.86x = 768,894.71 × 302,519.05
  4. Step 4: Simplify right side
    557,167.86x = 232,605,293,784.39
  5. Step 5: Solve for x
    x = 232,605,293,784.39/557,167.86
  6. Step 6: Final answer
    x = 417,477.95

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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.