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Finding the Fourth Proportional to 285,649.40, 428,534.02 and 85,984.40

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Solution

The fourth proportional to 285,649.40, 428,534.02 and 85,984.40 is: 128,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,649.40 : 428,534.02 = 85,984.40 : x
  2. Step 2: Convert to fraction form
    285,649.40/428,534.02 = 85,984.40/x
  3. Step 3: Cross multiply
    285,649.40x = 428,534.02 × 85,984.40
  4. Step 4: Simplify right side
    285,649.40x = 36,847,240,589.29
  5. Step 5: Solve for x
    x = 36,847,240,589.29/285,649.40
  6. Step 6: Final answer
    x = 128,994.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.