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Finding the Fourth Proportional to 509,976.72, 764,964 and 242,927.28

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Solution

The fourth proportional to 509,976.72, 764,964 and 242,927.28 is: 364,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,976.72 : 764,964 = 242,927.28 : x
  2. Step 2: Convert to fraction form
    509,976.72/764,964 = 242,927.28/x
  3. Step 3: Cross multiply
    509,976.72x = 764,964 × 242,927.28
  4. Step 4: Simplify right side
    509,976.72x = 185,830,623,817.92
  5. Step 5: Solve for x
    x = 185,830,623,817.92/509,976.72
  6. Step 6: Final answer
    x = 364,390.41

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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.