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Finding the Fourth Proportional to 393,120,141.80, 589,680,212.70 and 120,455,479.40

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Solution

The fourth proportional to 393,120,141.80, 589,680,212.70 and 120,455,479.40 is: 180,683,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,120,141.80 : 589,680,212.70 = 120,455,479.40 : x
  2. Step 2: Convert to fraction form
    393,120,141.80/589,680,212.70 = 120,455,479.40/x
  3. Step 3: Cross multiply
    393,120,141.80x = 589,680,212.70 × 120,455,479.40
  4. Step 4: Simplify right side
    393,120,141.80x = 71,030,212,713,472,480
  5. Step 5: Solve for x
    x = 71,030,212,713,472,480/393,120,141.80
  6. Step 6: Final answer
    x = 180,683,219.10

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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.