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Finding the Fourth Proportional to 509,758.47, 764,588.26 and 154,775.57

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Solution

The fourth proportional to 509,758.47, 764,588.26 and 154,775.57 is: 232,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,758.47 : 764,588.26 = 154,775.57 : x
  2. Step 2: Convert to fraction form
    509,758.47/764,588.26 = 154,775.57/x
  3. Step 3: Cross multiply
    509,758.47x = 764,588.26 × 154,775.57
  4. Step 4: Simplify right side
    509,758.47x = 118,339,579,159.99
  5. Step 5: Solve for x
    x = 118,339,579,159.99/509,758.47
  6. Step 6: Final answer
    x = 232,148.33

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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.