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Finding the Fourth Proportional to 505,346.57, 697,298.98 and 290,446.48

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Solution

The fourth proportional to 505,346.57, 697,298.98 and 290,446.48 is: 400,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,346.57 : 697,298.98 = 290,446.48 : x
  2. Step 2: Convert to fraction form
    505,346.57/697,298.98 = 290,446.48/x
  3. Step 3: Cross multiply
    505,346.57x = 697,298.98 × 290,446.48
  4. Step 4: Simplify right side
    505,346.57x = 202,528,029,309.86
  5. Step 5: Solve for x
    x = 202,528,029,309.86/505,346.57
  6. Step 6: Final answer
    x = 400,770.57

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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.