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Finding the Fourth Proportional to 200,071.20, 299,450.70 and 155,456.40

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Solution

The fourth proportional to 200,071.20, 299,450.70 and 155,456.40 is: 232,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,071.20 : 299,450.70 = 155,456.40 : x
  2. Step 2: Convert to fraction form
    200,071.20/299,450.70 = 155,456.40/x
  3. Step 3: Cross multiply
    200,071.20x = 299,450.70 × 155,456.40
  4. Step 4: Simplify right side
    200,071.20x = 46,551,527,799.48
  5. Step 5: Solve for x
    x = 46,551,527,799.48/200,071.20
  6. Step 6: Final answer
    x = 232,674.81

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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.