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Finding the Fourth Proportional to 561,640.10, 775,074.57 and 307,002.02

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Solution

The fourth proportional to 561,640.10, 775,074.57 and 307,002.02 is: 423,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,640.10 : 775,074.57 = 307,002.02 : x
  2. Step 2: Convert to fraction form
    561,640.10/775,074.57 = 307,002.02/x
  3. Step 3: Cross multiply
    561,640.10x = 775,074.57 × 307,002.02
  4. Step 4: Simplify right side
    561,640.10x = 237,949,458,640.63
  5. Step 5: Solve for x
    x = 237,949,458,640.63/561,640.10
  6. Step 6: Final answer
    x = 423,668.93

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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.