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Finding the Fourth Proportional to 291,216.26, 436,886.76 and 164,916.20

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Solution

The fourth proportional to 291,216.26, 436,886.76 and 164,916.20 is: 247,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,216.26 : 436,886.76 = 164,916.20 : x
  2. Step 2: Convert to fraction form
    291,216.26/436,886.76 = 164,916.20/x
  3. Step 3: Cross multiply
    291,216.26x = 436,886.76 × 164,916.20
  4. Step 4: Simplify right side
    291,216.26x = 72,049,706,000.16
  5. Step 5: Solve for x
    x = 72,049,706,000.16/291,216.26
  6. Step 6: Final answer
    x = 247,409.62

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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.