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Finding the Fourth Proportional to 275,325,339.80, 412,988,009.70 and 121,808,437.40

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Solution

The fourth proportional to 275,325,339.80, 412,988,009.70 and 121,808,437.40 is: 182,712,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,325,339.80 : 412,988,009.70 = 121,808,437.40 : x
  2. Step 2: Convert to fraction form
    275,325,339.80/412,988,009.70 = 121,808,437.40/x
  3. Step 3: Cross multiply
    275,325,339.80x = 412,988,009.70 × 121,808,437.40
  4. Step 4: Simplify right side
    275,325,339.80x = 50,305,424,126,493,040
  5. Step 5: Solve for x
    x = 50,305,424,126,493,040/275,325,339.80
  6. Step 6: Final answer
    x = 182,712,656.10

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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.