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Finding the Fourth Proportional to 527,648.28, 728,133.48 and 309,827.94

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Solution

The fourth proportional to 527,648.28, 728,133.48 and 309,827.94 is: 427,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,648.28 : 728,133.48 = 309,827.94 : x
  2. Step 2: Convert to fraction form
    527,648.28/728,133.48 = 309,827.94/x
  3. Step 3: Cross multiply
    527,648.28x = 728,133.48 × 309,827.94
  4. Step 4: Simplify right side
    527,648.28x = 225,596,096,153.43
  5. Step 5: Solve for x
    x = 225,596,096,153.43/527,648.28
  6. Step 6: Final answer
    x = 427,550.14

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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.