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Finding the Fourth Proportional to 1,957,921,000.51, 2,936,881,500.77 and 665,456,488.51

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Solution

The fourth proportional to 1,957,921,000.51, 2,936,881,500.77 and 665,456,488.51 is: 998,184,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,921,000.51 : 2,936,881,500.77 = 665,456,488.51 : x
  2. Step 2: Convert to fraction form
    1,957,921,000.51/2,936,881,500.77 = 665,456,488.51/x
  3. Step 3: Cross multiply
    1,957,921,000.51x = 2,936,881,500.77 × 665,456,488.51
  4. Step 4: Simplify right side
    1,957,921,000.51x = 1,954,366,850,672,382,976
  5. Step 5: Solve for x
    x = 1,954,366,850,672,382,976/1,957,921,000.51
  6. Step 6: Final answer
    x = 998,184,732.77

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1.5x scale

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.