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Finding the Fourth Proportional to 509,015.68, 762,360.76 and 242,963.48

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Solution

The fourth proportional to 509,015.68, 762,360.76 and 242,963.48 is: 363,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,015.68 : 762,360.76 = 242,963.48 : x
  2. Step 2: Convert to fraction form
    509,015.68/762,360.76 = 242,963.48/x
  3. Step 3: Cross multiply
    509,015.68x = 762,360.76 × 242,963.48
  4. Step 4: Simplify right side
    509,015.68x = 185,225,825,474.65
  5. Step 5: Solve for x
    x = 185,225,825,474.65/509,015.68
  6. Step 6: Final answer
    x = 363,890.22

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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.