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Finding the Fourth Proportional to 411,645.64, 617,222.40 and 158,716.34

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Solution

The fourth proportional to 411,645.64, 617,222.40 and 158,716.34 is: 237,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,645.64 : 617,222.40 = 158,716.34 : x
  2. Step 2: Convert to fraction form
    411,645.64/617,222.40 = 158,716.34/x
  3. Step 3: Cross multiply
    411,645.64x = 617,222.40 × 158,716.34
  4. Step 4: Simplify right side
    411,645.64x = 97,963,280,294.02
  5. Step 5: Solve for x
    x = 97,963,280,294.02/411,645.64
  6. Step 6: Final answer
    x = 237,979.64

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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.