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Finding the Fourth Proportional to 764,721, 1,054,884.54 and 458,715.96

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Solution

The fourth proportional to 764,721, 1,054,884.54 and 458,715.96 is: 632,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,721 : 1,054,884.54 = 458,715.96 : x
  2. Step 2: Convert to fraction form
    764,721/1,054,884.54 = 458,715.96/x
  3. Step 3: Cross multiply
    764,721x = 1,054,884.54 × 458,715.96
  4. Step 4: Simplify right side
    764,721x = 483,892,374,455.26
  5. Step 5: Solve for x
    x = 483,892,374,455.26/764,721
  6. Step 6: Final answer
    x = 632,769.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.