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Finding the Fourth Proportional to 527,932.36, 728,652.54 and 313,191.64

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Solution

The fourth proportional to 527,932.36, 728,652.54 and 313,191.64 is: 432,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,932.36 : 728,652.54 = 313,191.64 : x
  2. Step 2: Convert to fraction form
    527,932.36/728,652.54 = 313,191.64/x
  3. Step 3: Cross multiply
    527,932.36x = 728,652.54 × 313,191.64
  4. Step 4: Simplify right side
    527,932.36x = 228,207,883,992.77
  5. Step 5: Solve for x
    x = 228,207,883,992.77/527,932.36
  6. Step 6: Final answer
    x = 432,267.28

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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.