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Finding the Fourth Proportional to 357,403.02, 493,255.53 and 204,455.31

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Solution

The fourth proportional to 357,403.02, 493,255.53 and 204,455.31 is: 282,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,403.02 : 493,255.53 = 204,455.31 : x
  2. Step 2: Convert to fraction form
    357,403.02/493,255.53 = 204,455.31/x
  3. Step 3: Cross multiply
    357,403.02x = 493,255.53 × 204,455.31
  4. Step 4: Simplify right side
    357,403.02x = 100,848,712,295.36
  5. Step 5: Solve for x
    x = 100,848,712,295.36/357,403.02
  6. Step 6: Final answer
    x = 282,170.85

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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.