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Finding the Fourth Proportional to 527,967.27, 728,403.90 and 346,777.43

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Solution

The fourth proportional to 527,967.27, 728,403.90 and 346,777.43 is: 478,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,967.27 : 728,403.90 = 346,777.43 : x
  2. Step 2: Convert to fraction form
    527,967.27/728,403.90 = 346,777.43/x
  3. Step 3: Cross multiply
    527,967.27x = 728,403.90 × 346,777.43
  4. Step 4: Simplify right side
    527,967.27x = 252,594,028,801.96
  5. Step 5: Solve for x
    x = 252,594,028,801.96/527,967.27
  6. Step 6: Final answer
    x = 478,427.44

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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.