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Finding the Fourth Proportional to 527,796.48, 728,438.40 and 415,464.96

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Solution

The fourth proportional to 527,796.48, 728,438.40 and 415,464.96 is: 573,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,796.48 : 728,438.40 = 415,464.96 : x
  2. Step 2: Convert to fraction form
    527,796.48/728,438.40 = 415,464.96/x
  3. Step 3: Cross multiply
    527,796.48x = 728,438.40 × 415,464.96
  4. Step 4: Simplify right side
    527,796.48x = 302,640,630,718.46
  5. Step 5: Solve for x
    x = 302,640,630,718.46/527,796.48
  6. Step 6: Final answer
    x = 573,404.03

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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.