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Finding the Fourth Proportional to 357,405.02, 493,258.29 and 204,457.31

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Solution

The fourth proportional to 357,405.02, 493,258.29 and 204,457.31 is: 282,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,405.02 : 493,258.29 = 204,457.31 : x
  2. Step 2: Convert to fraction form
    357,405.02/493,258.29 = 204,457.31/x
  3. Step 3: Cross multiply
    357,405.02x = 493,258.29 × 204,457.31
  4. Step 4: Simplify right side
    357,405.02x = 100,850,263,108.60
  5. Step 5: Solve for x
    x = 100,850,263,108.60/357,405.02
  6. Step 6: Final answer
    x = 282,173.61

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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.