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Finding the Fourth Proportional to 310,351.52, 428,448.76 and 208,910.32

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Solution

The fourth proportional to 310,351.52, 428,448.76 and 208,910.32 is: 288,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,351.52 : 428,448.76 = 208,910.32 : x
  2. Step 2: Convert to fraction form
    310,351.52/428,448.76 = 208,910.32/x
  3. Step 3: Cross multiply
    310,351.52x = 428,448.76 × 208,910.32
  4. Step 4: Simplify right side
    310,351.52x = 89,507,367,555.20
  5. Step 5: Solve for x
    x = 89,507,367,555.20/310,351.52
  6. Step 6: Final answer
    x = 288,406.41

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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.