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Finding the Fourth Proportional to 509,919.60, 703,272.60 and 356,905.20

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Solution

The fourth proportional to 509,919.60, 703,272.60 and 356,905.20 is: 492,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,919.60 : 703,272.60 = 356,905.20 : x
  2. Step 2: Convert to fraction form
    509,919.60/703,272.60 = 356,905.20/x
  3. Step 3: Cross multiply
    509,919.60x = 703,272.60 × 356,905.20
  4. Step 4: Simplify right side
    509,919.60x = 251,001,647,957.52
  5. Step 5: Solve for x
    x = 251,001,647,957.52/509,919.60
  6. Step 6: Final answer
    x = 492,237.69

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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.