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Finding the Fourth Proportional to 557,415.60, 769,356.27 and 366,446.76

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Solution

The fourth proportional to 557,415.60, 769,356.27 and 366,446.76 is: 505,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,415.60 : 769,356.27 = 366,446.76 : x
  2. Step 2: Convert to fraction form
    557,415.60/769,356.27 = 366,446.76/x
  3. Step 3: Cross multiply
    557,415.60x = 769,356.27 × 366,446.76
  4. Step 4: Simplify right side
    557,415.60x = 281,928,112,427.19
  5. Step 5: Solve for x
    x = 281,928,112,427.19/557,415.60
  6. Step 6: Final answer
    x = 505,777.22

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Double scale
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1.5x scale

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.