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Finding the Fourth Proportional to 290,735.80, 435,812.10 and 133,077.40

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Solution

The fourth proportional to 290,735.80, 435,812.10 and 133,077.40 is: 199,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,735.80 : 435,812.10 = 133,077.40 : x
  2. Step 2: Convert to fraction form
    290,735.80/435,812.10 = 133,077.40/x
  3. Step 3: Cross multiply
    290,735.80x = 435,812.10 × 133,077.40
  4. Step 4: Simplify right side
    290,735.80x = 57,996,741,156.54
  5. Step 5: Solve for x
    x = 57,996,741,156.54/290,735.80
  6. Step 6: Final answer
    x = 199,482.63

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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.