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Finding the Fourth Proportional to 393,120,133.80, 589,680,200.70 and 120,455,471.40

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Solution

The fourth proportional to 393,120,133.80, 589,680,200.70 and 120,455,471.40 is: 180,683,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,120,133.80 : 589,680,200.70 = 120,455,471.40 : x
  2. Step 2: Convert to fraction form
    393,120,133.80/589,680,200.70 = 120,455,471.40/x
  3. Step 3: Cross multiply
    393,120,133.80x = 589,680,200.70 × 120,455,471.40
  4. Step 4: Simplify right side
    393,120,133.80x = 71,030,206,550,565,120
  5. Step 5: Solve for x
    x = 71,030,206,550,565,120/393,120,133.80
  6. Step 6: Final answer
    x = 180,683,207.10

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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.