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Finding the Fourth Proportional to 685,901, 946,543.86 and 384,101.96

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Solution

The fourth proportional to 685,901, 946,543.86 and 384,101.96 is: 530,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,901 : 946,543.86 = 384,101.96 : x
  2. Step 2: Convert to fraction form
    685,901/946,543.86 = 384,101.96/x
  3. Step 3: Cross multiply
    685,901x = 946,543.86 × 384,101.96
  4. Step 4: Simplify right side
    685,901x = 363,569,351,851.97
  5. Step 5: Solve for x
    x = 363,569,351,851.97/685,901
  6. Step 6: Final answer
    x = 530,060.97

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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.