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Finding the Fourth Proportional to 408,368,567.80, 612,552,851.70 and 135,703,905.40

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Solution

The fourth proportional to 408,368,567.80, 612,552,851.70 and 135,703,905.40 is: 203,555,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,368,567.80 : 612,552,851.70 = 135,703,905.40 : x
  2. Step 2: Convert to fraction form
    408,368,567.80/612,552,851.70 = 135,703,905.40/x
  3. Step 3: Cross multiply
    408,368,567.80x = 612,552,851.70 × 135,703,905.40
  4. Step 4: Simplify right side
    408,368,567.80x = 83,125,814,239,597,040
  5. Step 5: Solve for x
    x = 83,125,814,239,597,040/408,368,567.80
  6. Step 6: Final answer
    x = 203,555,858.10

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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.