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Finding the Fourth Proportional to 505,406.54, 697,209.30 and 301,313.81

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Solution

The fourth proportional to 505,406.54, 697,209.30 and 301,313.81 is: 415,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,406.54 : 697,209.30 = 301,313.81 : x
  2. Step 2: Convert to fraction form
    505,406.54/697,209.30 = 301,313.81/x
  3. Step 3: Cross multiply
    505,406.54x = 697,209.30 × 301,313.81
  4. Step 4: Simplify right side
    505,406.54x = 210,078,787,064.39
  5. Step 5: Solve for x
    x = 210,078,787,064.39/505,406.54
  6. Step 6: Final answer
    x = 415,662.98

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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.