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Finding the Fourth Proportional to 383,854.60, 576,041.10 and 215,374.60

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Solution

The fourth proportional to 383,854.60, 576,041.10 and 215,374.60 is: 323,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854.60 : 576,041.10 = 215,374.60 : x
  2. Step 2: Convert to fraction form
    383,854.60/576,041.10 = 215,374.60/x
  3. Step 3: Cross multiply
    383,854.60x = 576,041.10 × 215,374.60
  4. Step 4: Simplify right side
    383,854.60x = 124,064,621,496.06
  5. Step 5: Solve for x
    x = 124,064,621,496.06/383,854.60
  6. Step 6: Final answer
    x = 323,207.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.