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Finding the Fourth Proportional to 353,214.48, 487,421.16 and 200,262.96

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Solution

The fourth proportional to 353,214.48, 487,421.16 and 200,262.96 is: 276,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,214.48 : 487,421.16 = 200,262.96 : x
  2. Step 2: Convert to fraction form
    353,214.48/487,421.16 = 200,262.96/x
  3. Step 3: Cross multiply
    353,214.48x = 487,421.16 × 200,262.96
  4. Step 4: Simplify right side
    353,214.48x = 97,612,404,268.23
  5. Step 5: Solve for x
    x = 97,612,404,268.23/353,214.48
  6. Step 6: Final answer
    x = 276,354.48

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1.5x scale

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.