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Finding the Fourth Proportional to 648,493.60, 973,906.80 and 471,200.80

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Solution

The fourth proportional to 648,493.60, 973,906.80 and 471,200.80 is: 707,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,493.60 : 973,906.80 = 471,200.80 : x
  2. Step 2: Convert to fraction form
    648,493.60/973,906.80 = 471,200.80/x
  3. Step 3: Cross multiply
    648,493.60x = 973,906.80 × 471,200.80
  4. Step 4: Simplify right side
    648,493.60x = 458,905,663,285.44
  5. Step 5: Solve for x
    x = 458,905,663,285.44/648,493.60
  6. Step 6: Final answer
    x = 707,648.72

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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.