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Finding the Fourth Proportional to 342,437.40, 514,117.80 and 200,428.20

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Solution

The fourth proportional to 342,437.40, 514,117.80 and 200,428.20 is: 300,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,437.40 : 514,117.80 = 200,428.20 : x
  2. Step 2: Convert to fraction form
    342,437.40/514,117.80 = 200,428.20/x
  3. Step 3: Cross multiply
    342,437.40x = 514,117.80 × 200,428.20
  4. Step 4: Simplify right side
    342,437.40x = 103,043,705,241.96
  5. Step 5: Solve for x
    x = 103,043,705,241.96/342,437.40
  6. Step 6: Final answer
    x = 300,912.53

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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.