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Finding the Fourth Proportional to 486,216.19, 728,946.64 and 315,076.38

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Solution

The fourth proportional to 486,216.19, 728,946.64 and 315,076.38 is: 472,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,216.19 : 728,946.64 = 315,076.38 : x
  2. Step 2: Convert to fraction form
    486,216.19/728,946.64 = 315,076.38/x
  3. Step 3: Cross multiply
    486,216.19x = 728,946.64 × 315,076.38
  4. Step 4: Simplify right side
    486,216.19x = 229,673,868,544.36
  5. Step 5: Solve for x
    x = 229,673,868,544.36/486,216.19
  6. Step 6: Final answer
    x = 472,369.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.