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Finding the Fourth Proportional to 509,745.52, 764,657.16 and 154,788.94

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Solution

The fourth proportional to 509,745.52, 764,657.16 and 154,788.94 is: 232,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,745.52 : 764,657.16 = 154,788.94 : x
  2. Step 2: Convert to fraction form
    509,745.52/764,657.16 = 154,788.94/x
  3. Step 3: Cross multiply
    509,745.52x = 764,657.16 × 154,788.94
  4. Step 4: Simplify right side
    509,745.52x = 118,360,471,259.81
  5. Step 5: Solve for x
    x = 118,360,471,259.81/509,745.52
  6. Step 6: Final answer
    x = 232,195.22

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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.