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Finding the Fourth Proportional to 509,758.36, 764,588.07 and 154,775.45

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Solution

The fourth proportional to 509,758.36, 764,588.07 and 154,775.45 is: 232,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,758.36 : 764,588.07 = 154,775.45 : x
  2. Step 2: Convert to fraction form
    509,758.36/764,588.07 = 154,775.45/x
  3. Step 3: Cross multiply
    509,758.36x = 764,588.07 × 154,775.45
  4. Step 4: Simplify right side
    509,758.36x = 118,339,464,510.35
  5. Step 5: Solve for x
    x = 118,339,464,510.35/509,758.36
  6. Step 6: Final answer
    x = 232,148.16

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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.