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Finding the Fourth Proportional to 417,827.32, 576,030.43 and 287,000.98

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Solution

The fourth proportional to 417,827.32, 576,030.43 and 287,000.98 is: 395,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,827.32 : 576,030.43 = 287,000.98 : x
  2. Step 2: Convert to fraction form
    417,827.32/576,030.43 = 287,000.98/x
  3. Step 3: Cross multiply
    417,827.32x = 576,030.43 × 287,000.98
  4. Step 4: Simplify right side
    417,827.32x = 165,321,297,919.82
  5. Step 5: Solve for x
    x = 165,321,297,919.82/417,827.32
  6. Step 6: Final answer
    x = 395,668.95

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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.