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Finding the Fourth Proportional to 685,792.46, 946,303.91 and 395,414.96

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Solution

The fourth proportional to 685,792.46, 946,303.91 and 395,414.96 is: 545,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,792.46 : 946,303.91 = 395,414.96 : x
  2. Step 2: Convert to fraction form
    685,792.46/946,303.91 = 395,414.96/x
  3. Step 3: Cross multiply
    685,792.46x = 946,303.91 × 395,414.96
  4. Step 4: Simplify right side
    685,792.46x = 374,182,716,011.90
  5. Step 5: Solve for x
    x = 374,182,716,011.90/685,792.46
  6. Step 6: Final answer
    x = 545,620.93

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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.