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Finding the Fourth Proportional to 408,914.80, 613,602.60 and 159,564.40

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Solution

The fourth proportional to 408,914.80, 613,602.60 and 159,564.40 is: 239,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,914.80 : 613,602.60 = 159,564.40 : x
  2. Step 2: Convert to fraction form
    408,914.80/613,602.60 = 159,564.40/x
  3. Step 3: Cross multiply
    408,914.80x = 613,602.60 × 159,564.40
  4. Step 4: Simplify right side
    408,914.80x = 97,909,130,707.44
  5. Step 5: Solve for x
    x = 97,909,130,707.44/408,914.80
  6. Step 6: Final answer
    x = 239,436.51

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1.5x scale

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.