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Finding the Fourth Proportional to 526,640, 726,763.68 and 288,176

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Solution

The fourth proportional to 526,640, 726,763.68 and 288,176 is: 397,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,640 : 726,763.68 = 288,176 : x
  2. Step 2: Convert to fraction form
    526,640/726,763.68 = 288,176/x
  3. Step 3: Cross multiply
    526,640x = 726,763.68 × 288,176
  4. Step 4: Simplify right side
    526,640x = 209,435,850,247.68
  5. Step 5: Solve for x
    x = 209,435,850,247.68/526,640
  6. Step 6: Final answer
    x = 397,683.14

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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.