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Finding the Fourth Proportional to 509,807.36, 764,263.92 and 194,054.24

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Solution

The fourth proportional to 509,807.36, 764,263.92 and 194,054.24 is: 290,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,807.36 : 764,263.92 = 194,054.24 : x
  2. Step 2: Convert to fraction form
    509,807.36/764,263.92 = 194,054.24/x
  3. Step 3: Cross multiply
    509,807.36x = 764,263.92 × 194,054.24
  4. Step 4: Simplify right side
    509,807.36x = 148,308,654,155.02
  5. Step 5: Solve for x
    x = 148,308,654,155.02/509,807.36
  6. Step 6: Final answer
    x = 290,911.17

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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.