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Finding the Fourth Proportional to 310,435.34, 428,388.14 and 189,778.55

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Solution

The fourth proportional to 310,435.34, 428,388.14 and 189,778.55 is: 261,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,435.34 : 428,388.14 = 189,778.55 : x
  2. Step 2: Convert to fraction form
    310,435.34/428,388.14 = 189,778.55/x
  3. Step 3: Cross multiply
    310,435.34x = 428,388.14 × 189,778.55
  4. Step 4: Simplify right side
    310,435.34x = 81,298,878,378.90
  5. Step 5: Solve for x
    x = 81,298,878,378.90/310,435.34
  6. Step 6: Final answer
    x = 261,886.68

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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.