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Finding the Fourth Proportional to 398,769,808.40, 598,770,571.80 and 217,371,280.40

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Solution

The fourth proportional to 398,769,808.40, 598,770,571.80 and 217,371,280.40 is: 326,392,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,769,808.40 : 598,770,571.80 = 217,371,280.40 : x
  2. Step 2: Convert to fraction form
    398,769,808.40/598,770,571.80 = 217,371,280.40/x
  3. Step 3: Cross multiply
    398,769,808.40x = 598,770,571.80 × 217,371,280.40
  4. Step 4: Simplify right side
    398,769,808.40x = 130,155,525,858,006,128
  5. Step 5: Solve for x
    x = 130,155,525,858,006,128/398,769,808.40
  6. Step 6: Final answer
    x = 326,392,628.32

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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.