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Finding the Fourth Proportional to 404,217.32, 557,859.32 and 302,065.40

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Solution

The fourth proportional to 404,217.32, 557,859.32 and 302,065.40 is: 416,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,217.32 : 557,859.32 = 302,065.40 : x
  2. Step 2: Convert to fraction form
    404,217.32/557,859.32 = 302,065.40/x
  3. Step 3: Cross multiply
    404,217.32x = 557,859.32 × 302,065.40
  4. Step 4: Simplify right side
    404,217.32x = 168,509,998,639.53
  5. Step 5: Solve for x
    x = 168,509,998,639.53/404,217.32
  6. Step 6: Final answer
    x = 416,879.71

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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.