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Finding the Fourth Proportional to 685,876.82, 946,509.84 and 379,973.06

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Solution

The fourth proportional to 685,876.82, 946,509.84 and 379,973.06 is: 524,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,876.82 : 946,509.84 = 379,973.06 : x
  2. Step 2: Convert to fraction form
    685,876.82/946,509.84 = 379,973.06/x
  3. Step 3: Cross multiply
    685,876.82x = 946,509.84 × 379,973.06
  4. Step 4: Simplify right side
    685,876.82x = 359,648,239,041.77
  5. Step 5: Solve for x
    x = 359,648,239,041.77/685,876.82
  6. Step 6: Final answer
    x = 524,362.73

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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.