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Finding the Fourth Proportional to 493,097.60, 739,670.70 and 256,901.60

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Solution

The fourth proportional to 493,097.60, 739,670.70 and 256,901.60 is: 385,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,097.60 : 739,670.70 = 256,901.60 : x
  2. Step 2: Convert to fraction form
    493,097.60/739,670.70 = 256,901.60/x
  3. Step 3: Cross multiply
    493,097.60x = 739,670.70 × 256,901.60
  4. Step 4: Simplify right side
    493,097.60x = 190,022,586,303.12
  5. Step 5: Solve for x
    x = 190,022,586,303.12/493,097.60
  6. Step 6: Final answer
    x = 385,365.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.