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Finding the Fourth Proportional to 355,527.75, 490,508.10 and 202,457.42

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Solution

The fourth proportional to 355,527.75, 490,508.10 and 202,457.42 is: 279,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,527.75 : 490,508.10 = 202,457.42 : x
  2. Step 2: Convert to fraction form
    355,527.75/490,508.10 = 202,457.42/x
  3. Step 3: Cross multiply
    355,527.75x = 490,508.10 × 202,457.42
  4. Step 4: Simplify right side
    355,527.75x = 99,307,001,962.56
  5. Step 5: Solve for x
    x = 99,307,001,962.56/355,527.75
  6. Step 6: Final answer
    x = 279,322.79

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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.