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Finding the Fourth Proportional to 527,931.36, 728,651.16 and 313,190.64

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Solution

The fourth proportional to 527,931.36, 728,651.16 and 313,190.64 is: 432,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,931.36 : 728,651.16 = 313,190.64 : x
  2. Step 2: Convert to fraction form
    527,931.36/728,651.16 = 313,190.64/x
  3. Step 3: Cross multiply
    527,931.36x = 728,651.16 × 313,190.64
  4. Step 4: Simplify right side
    527,931.36x = 228,206,723,137.14
  5. Step 5: Solve for x
    x = 228,206,723,137.14/527,931.36
  6. Step 6: Final answer
    x = 432,265.90

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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.