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Finding the Fourth Proportional to 310,166.59, 428,192.49 and 208,725.43

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Solution

The fourth proportional to 310,166.59, 428,192.49 and 208,725.43 is: 288,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,166.59 : 428,192.49 = 208,725.43 : x
  2. Step 2: Convert to fraction form
    310,166.59/428,192.49 = 208,725.43/x
  3. Step 3: Cross multiply
    310,166.59x = 428,192.49 × 208,725.43
  4. Step 4: Simplify right side
    310,166.59x = 89,374,661,598.02
  5. Step 5: Solve for x
    x = 89,374,661,598.02/310,166.59
  6. Step 6: Final answer
    x = 288,150.51

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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.