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Finding the Fourth Proportional to 408,259,938.80, 612,389,909.02 and 408,259,938.80

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Solution

The fourth proportional to 408,259,938.80, 612,389,909.02 and 408,259,938.80 is: 612,389,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,259,938.80 : 612,389,909.02 = 408,259,938.80 : x
  2. Step 2: Convert to fraction form
    408,259,938.80/612,389,909.02 = 408,259,938.80/x
  3. Step 3: Cross multiply
    408,259,938.80x = 612,389,909.02 × 408,259,938.80
  4. Step 4: Simplify right side
    408,259,938.80x = 250,014,266,778,242,752
  5. Step 5: Solve for x
    x = 250,014,266,778,242,752/408,259,938.80
  6. Step 6: Final answer
    x = 612,389,909.02

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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.