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Finding the Fourth Proportional to 527,916.36, 728,630.46 and 313,175.64

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Solution

The fourth proportional to 527,916.36, 728,630.46 and 313,175.64 is: 432,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,916.36 : 728,630.46 = 313,175.64 : x
  2. Step 2: Convert to fraction form
    527,916.36/728,630.46 = 313,175.64/x
  3. Step 3: Cross multiply
    527,916.36x = 728,630.46 × 313,175.64
  4. Step 4: Simplify right side
    527,916.36x = 228,189,310,633.99
  5. Step 5: Solve for x
    x = 228,189,310,633.99/527,916.36
  6. Step 6: Final answer
    x = 432,245.20

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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.