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Finding the Fourth Proportional to 505,112.60, 697,071.66 and 287,315.69

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Solution

The fourth proportional to 505,112.60, 697,071.66 and 287,315.69 is: 396,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,112.60 : 697,071.66 = 287,315.69 : x
  2. Step 2: Convert to fraction form
    505,112.60/697,071.66 = 287,315.69/x
  3. Step 3: Cross multiply
    505,112.60x = 697,071.66 × 287,315.69
  4. Step 4: Simplify right side
    505,112.60x = 200,279,624,972.35
  5. Step 5: Solve for x
    x = 200,279,624,972.35/505,112.60
  6. Step 6: Final answer
    x = 396,504.91

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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.