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Finding the Fourth Proportional to 391,643.60, 587,465.40 and 204,712.40

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Solution

The fourth proportional to 391,643.60, 587,465.40 and 204,712.40 is: 307,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,643.60 : 587,465.40 = 204,712.40 : x
  2. Step 2: Convert to fraction form
    391,643.60/587,465.40 = 204,712.40/x
  3. Step 3: Cross multiply
    391,643.60x = 587,465.40 × 204,712.40
  4. Step 4: Simplify right side
    391,643.60x = 120,261,451,950.96
  5. Step 5: Solve for x
    x = 120,261,451,950.96/391,643.60
  6. Step 6: Final answer
    x = 307,068.60

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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.