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Finding the Fourth Proportional to 361,438.58, 498,762.68 and 200,284.22

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Solution

The fourth proportional to 361,438.58, 498,762.68 and 200,284.22 is: 276,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,438.58 : 498,762.68 = 200,284.22 : x
  2. Step 2: Convert to fraction form
    361,438.58/498,762.68 = 200,284.22/x
  3. Step 3: Cross multiply
    361,438.58x = 498,762.68 × 200,284.22
  4. Step 4: Simplify right side
    361,438.58x = 99,894,294,328.91
  5. Step 5: Solve for x
    x = 99,894,294,328.91/361,438.58
  6. Step 6: Final answer
    x = 276,379.72

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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.