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Finding the Fourth Proportional to 357,405.52, 493,258.98 and 204,457.81

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Solution

The fourth proportional to 357,405.52, 493,258.98 and 204,457.81 is: 282,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,405.52 : 493,258.98 = 204,457.81 : x
  2. Step 2: Convert to fraction form
    357,405.52/493,258.98 = 204,457.81/x
  3. Step 3: Cross multiply
    357,405.52x = 493,258.98 × 204,457.81
  4. Step 4: Simplify right side
    357,405.52x = 100,850,650,813.63
  5. Step 5: Solve for x
    x = 100,850,650,813.63/357,405.52
  6. Step 6: Final answer
    x = 282,174.30

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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.