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Finding the Fourth Proportional to 199,459.40, 299,334.90 and 140,410.40

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Solution

The fourth proportional to 199,459.40, 299,334.90 and 140,410.40 is: 210,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,459.40 : 299,334.90 = 140,410.40 : x
  2. Step 2: Convert to fraction form
    199,459.40/299,334.90 = 140,410.40/x
  3. Step 3: Cross multiply
    199,459.40x = 299,334.90 × 140,410.40
  4. Step 4: Simplify right side
    199,459.40x = 42,029,733,042.96
  5. Step 5: Solve for x
    x = 42,029,733,042.96/199,459.40
  6. Step 6: Final answer
    x = 210,718.24

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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.