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Finding the Fourth Proportional to 411,419.10, 617,128.65 and 115,931.10

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Solution

The fourth proportional to 411,419.10, 617,128.65 and 115,931.10 is: 173,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,419.10 : 617,128.65 = 115,931.10 : x
  2. Step 2: Convert to fraction form
    411,419.10/617,128.65 = 115,931.10/x
  3. Step 3: Cross multiply
    411,419.10x = 617,128.65 × 115,931.10
  4. Step 4: Simplify right side
    411,419.10x = 71,544,403,236.02
  5. Step 5: Solve for x
    x = 71,544,403,236.02/411,419.10
  6. Step 6: Final answer
    x = 173,896.65

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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.