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Finding the Fourth Proportional to 402,137.13, 555,164.69 and 310,055.30

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Solution

The fourth proportional to 402,137.13, 555,164.69 and 310,055.30 is: 428,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,137.13 : 555,164.69 = 310,055.30 : x
  2. Step 2: Convert to fraction form
    402,137.13/555,164.69 = 310,055.30/x
  3. Step 3: Cross multiply
    402,137.13x = 555,164.69 × 310,055.30
  4. Step 4: Simplify right side
    402,137.13x = 172,131,754,507.36
  5. Step 5: Solve for x
    x = 172,131,754,507.36/402,137.13
  6. Step 6: Final answer
    x = 428,042.43

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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.