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Finding the Fourth Proportional to 457,026, 685,801.32 and 356,905.12

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Solution

The fourth proportional to 457,026, 685,801.32 and 356,905.12 is: 535,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,026 : 685,801.32 = 356,905.12 : x
  2. Step 2: Convert to fraction form
    457,026/685,801.32 = 356,905.12/x
  3. Step 3: Cross multiply
    457,026x = 685,801.32 × 356,905.12
  4. Step 4: Simplify right side
    457,026x = 244,766,002,410.76
  5. Step 5: Solve for x
    x = 244,766,002,410.76/457,026
  6. Step 6: Final answer
    x = 535,562.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.