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Finding the Fourth Proportional to 527,690.40, 728,213.36 and 285,972.96

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Solution

The fourth proportional to 527,690.40, 728,213.36 and 285,972.96 is: 394,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,690.40 : 728,213.36 = 285,972.96 : x
  2. Step 2: Convert to fraction form
    527,690.40/728,213.36 = 285,972.96/x
  3. Step 3: Cross multiply
    527,690.40x = 728,213.36 × 285,972.96
  4. Step 4: Simplify right side
    527,690.40x = 208,249,327,640.28
  5. Step 5: Solve for x
    x = 208,249,327,640.28/527,690.40
  6. Step 6: Final answer
    x = 394,643.01

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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.