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Finding the Fourth Proportional to 557,184.30, 768,892.77 and 302,529.66

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Solution

The fourth proportional to 557,184.30, 768,892.77 and 302,529.66 is: 417,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,184.30 : 768,892.77 = 302,529.66 : x
  2. Step 2: Convert to fraction form
    557,184.30/768,892.77 = 302,529.66/x
  3. Step 3: Cross multiply
    557,184.30x = 768,892.77 × 302,529.66
  4. Step 4: Simplify right side
    557,184.30x = 232,612,868,284.56
  5. Step 5: Solve for x
    x = 232,612,868,284.56/557,184.30
  6. Step 6: Final answer
    x = 417,479.22

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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.