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Finding the Fourth Proportional to 291,318.48, 436,977.72 and 166,572

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Solution

The fourth proportional to 291,318.48, 436,977.72 and 166,572 is: 249,858

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,318.48 : 436,977.72 = 166,572 : x
  2. Step 2: Convert to fraction form
    291,318.48/436,977.72 = 166,572/x
  3. Step 3: Cross multiply
    291,318.48x = 436,977.72 × 166,572
  4. Step 4: Simplify right side
    291,318.48x = 72,788,252,775.84
  5. Step 5: Solve for x
    x = 72,788,252,775.84/291,318.48
  6. Step 6: Final answer
    x = 249,858

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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.