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Finding the Fourth Proportional to 310,119.68, 428,031.86 and 189,235.10

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Solution

The fourth proportional to 310,119.68, 428,031.86 and 189,235.10 is: 261,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,119.68 : 428,031.86 = 189,235.10 : x
  2. Step 2: Convert to fraction form
    310,119.68/428,031.86 = 189,235.10/x
  3. Step 3: Cross multiply
    310,119.68x = 428,031.86 × 189,235.10
  4. Step 4: Simplify right side
    310,119.68x = 80,998,648,743.95
  5. Step 5: Solve for x
    x = 80,998,648,743.95/310,119.68
  6. Step 6: Final answer
    x = 261,185.13

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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.