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Finding the Fourth Proportional to 406,764, 561,334.48 and 247,788

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Solution

The fourth proportional to 406,764, 561,334.48 and 247,788 is: 341,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,764 : 561,334.48 = 247,788 : x
  2. Step 2: Convert to fraction form
    406,764/561,334.48 = 247,788/x
  3. Step 3: Cross multiply
    406,764x = 561,334.48 × 247,788
  4. Step 4: Simplify right side
    406,764x = 139,091,948,130.24
  5. Step 5: Solve for x
    x = 139,091,948,130.24/406,764
  6. Step 6: Final answer
    x = 341,947.54

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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.