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Finding the Fourth Proportional to 402,202.68, 555,078.25 and 230,086.47

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Solution

The fourth proportional to 402,202.68, 555,078.25 and 230,086.47 is: 317,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,202.68 : 555,078.25 = 230,086.47 : x
  2. Step 2: Convert to fraction form
    402,202.68/555,078.25 = 230,086.47/x
  3. Step 3: Cross multiply
    402,202.68x = 555,078.25 × 230,086.47
  4. Step 4: Simplify right side
    402,202.68x = 127,715,991,190.45
  5. Step 5: Solve for x
    x = 127,715,991,190.45/402,202.68
  6. Step 6: Final answer
    x = 317,541.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.