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Finding the Fourth Proportional to 648,505.60, 973,924.80 and 471,212.80

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Solution

The fourth proportional to 648,505.60, 973,924.80 and 471,212.80 is: 707,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,505.60 : 973,924.80 = 471,212.80 : x
  2. Step 2: Convert to fraction form
    648,505.60/973,924.80 = 471,212.80/x
  3. Step 3: Cross multiply
    648,505.60x = 973,924.80 × 471,212.80
  4. Step 4: Simplify right side
    648,505.60x = 458,925,831,997.44
  5. Step 5: Solve for x
    x = 458,925,831,997.44/648,505.60
  6. Step 6: Final answer
    x = 707,666.72

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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.