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Finding the Fourth Proportional to 505,213.94, 697,212.10 and 275,784.82

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Solution

The fourth proportional to 505,213.94, 697,212.10 and 275,784.82 is: 380,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,213.94 : 697,212.10 = 275,784.82 : x
  2. Step 2: Convert to fraction form
    505,213.94/697,212.10 = 275,784.82/x
  3. Step 3: Cross multiply
    505,213.94x = 697,212.10 × 275,784.82
  4. Step 4: Simplify right side
    505,213.94x = 192,280,513,500.32
  5. Step 5: Solve for x
    x = 192,280,513,500.32/505,213.94
  6. Step 6: Final answer
    x = 380,592.26

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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.