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Finding the Fourth Proportional to 305,697.80, 458,546.70 and 199,411.40

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Solution

The fourth proportional to 305,697.80, 458,546.70 and 199,411.40 is: 299,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,697.80 : 458,546.70 = 199,411.40 : x
  2. Step 2: Convert to fraction form
    305,697.80/458,546.70 = 199,411.40/x
  3. Step 3: Cross multiply
    305,697.80x = 458,546.70 × 199,411.40
  4. Step 4: Simplify right side
    305,697.80x = 91,439,439,412.38
  5. Step 5: Solve for x
    x = 91,439,439,412.38/305,697.80
  6. Step 6: Final answer
    x = 299,117.10

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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.