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Finding the Fourth Proportional to 471,284.40, 706,926.60 and 420,108.60

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Solution

The fourth proportional to 471,284.40, 706,926.60 and 420,108.60 is: 630,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,284.40 : 706,926.60 = 420,108.60 : x
  2. Step 2: Convert to fraction form
    471,284.40/706,926.60 = 420,108.60/x
  3. Step 3: Cross multiply
    471,284.40x = 706,926.60 × 420,108.60
  4. Step 4: Simplify right side
    471,284.40x = 296,985,944,228.76
  5. Step 5: Solve for x
    x = 296,985,944,228.76/471,284.40
  6. Step 6: Final answer
    x = 630,162.90

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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.