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Finding the Fourth Proportional to 402,080.47, 602,943.56 and 188,908.97

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Solution

The fourth proportional to 402,080.47, 602,943.56 and 188,908.97 is: 283,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,080.47 : 602,943.56 = 188,908.97 : x
  2. Step 2: Convert to fraction form
    402,080.47/602,943.56 = 188,908.97/x
  3. Step 3: Cross multiply
    402,080.47x = 602,943.56 × 188,908.97
  4. Step 4: Simplify right side
    402,080.47x = 113,901,442,928.47
  5. Step 5: Solve for x
    x = 113,901,442,928.47/402,080.47
  6. Step 6: Final answer
    x = 283,280.22

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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.