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Finding the Fourth Proportional to 353,291.90, 487,632.15 and 200,421.20

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Solution

The fourth proportional to 353,291.90, 487,632.15 and 200,421.20 is: 276,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,291.90 : 487,632.15 = 200,421.20 : x
  2. Step 2: Convert to fraction form
    353,291.90/487,632.15 = 200,421.20/x
  3. Step 3: Cross multiply
    353,291.90x = 487,632.15 × 200,421.20
  4. Step 4: Simplify right side
    353,291.90x = 97,731,821,880.66
  5. Step 5: Solve for x
    x = 97,731,821,880.66/353,291.90
  6. Step 6: Final answer
    x = 276,631.94

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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.