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Finding the Fourth Proportional to 291,057.09, 436,585.75 and 130,946.04

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Solution

The fourth proportional to 291,057.09, 436,585.75 and 130,946.04 is: 196,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,057.09 : 436,585.75 = 130,946.04 : x
  2. Step 2: Convert to fraction form
    291,057.09/436,585.75 = 130,946.04/x
  3. Step 3: Cross multiply
    291,057.09x = 436,585.75 × 130,946.04
  4. Step 4: Simplify right side
    291,057.09x = 57,169,175,082.93
  5. Step 5: Solve for x
    x = 57,169,175,082.93/291,057.09
  6. Step 6: Final answer
    x = 196,419.11

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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.