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Finding the Fourth Proportional to 290,574.64, 435,887.04 and 80,212.60

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Solution

The fourth proportional to 290,574.64, 435,887.04 and 80,212.60 is: 120,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,574.64 : 435,887.04 = 80,212.60 : x
  2. Step 2: Convert to fraction form
    290,574.64/435,887.04 = 80,212.60/x
  3. Step 3: Cross multiply
    290,574.64x = 435,887.04 × 80,212.60
  4. Step 4: Simplify right side
    290,574.64x = 34,963,632,784.70
  5. Step 5: Solve for x
    x = 34,963,632,784.70/290,574.64
  6. Step 6: Final answer
    x = 120,325.82

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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.