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Finding the Fourth Proportional to 420,633,702.60, 630,950,553.90 and 348,970,086.60

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Solution

The fourth proportional to 420,633,702.60, 630,950,553.90 and 348,970,086.60 is: 523,455,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633,702.60 : 630,950,553.90 = 348,970,086.60 : x
  2. Step 2: Convert to fraction form
    420,633,702.60/630,950,553.90 = 348,970,086.60/x
  3. Step 3: Cross multiply
    420,633,702.60x = 630,950,553.90 × 348,970,086.60
  4. Step 4: Simplify right side
    420,633,702.60x = 220,182,869,434,800,960
  5. Step 5: Solve for x
    x = 220,182,869,434,800,960/420,633,702.60
  6. Step 6: Final answer
    x = 523,455,129.90

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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.