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Finding the Fourth Proportional to 310,421.22, 428,042.22 and 209,644.26

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Solution

The fourth proportional to 310,421.22, 428,042.22 and 209,644.26 is: 289,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,421.22 : 428,042.22 = 209,644.26 : x
  2. Step 2: Convert to fraction form
    310,421.22/428,042.22 = 209,644.26/x
  3. Step 3: Cross multiply
    310,421.22x = 428,042.22 × 209,644.26
  4. Step 4: Simplify right side
    310,421.22x = 89,736,594,460.66
  5. Step 5: Solve for x
    x = 89,736,594,460.66/310,421.22
  6. Step 6: Final answer
    x = 289,080.09

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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.