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Finding the Fourth Proportional to 471,723.60, 706,807.80 and 392,408.40

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Solution

The fourth proportional to 471,723.60, 706,807.80 and 392,408.40 is: 587,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,723.60 : 706,807.80 = 392,408.40 : x
  2. Step 2: Convert to fraction form
    471,723.60/706,807.80 = 392,408.40/x
  3. Step 3: Cross multiply
    471,723.60x = 706,807.80 × 392,408.40
  4. Step 4: Simplify right side
    471,723.60x = 277,357,317,905.52
  5. Step 5: Solve for x
    x = 277,357,317,905.52/471,723.60
  6. Step 6: Final answer
    x = 587,965.74

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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.