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Finding the Fourth Proportional to 509,877.18, 764,815.50 and 242,828.01

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Solution

The fourth proportional to 509,877.18, 764,815.50 and 242,828.01 is: 364,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,877.18 : 764,815.50 = 242,828.01 : x
  2. Step 2: Convert to fraction form
    509,877.18/764,815.50 = 242,828.01/x
  3. Step 3: Cross multiply
    509,877.18x = 764,815.50 × 242,828.01
  4. Step 4: Simplify right side
    509,877.18x = 185,718,625,882.16
  5. Step 5: Solve for x
    x = 185,718,625,882.16/509,877.18
  6. Step 6: Final answer
    x = 364,241.89

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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.