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Finding the Fourth Proportional to 1,265,013,537.86, 1,895,049,103.71 and 871,470,848.54

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Solution

The fourth proportional to 1,265,013,537.86, 1,895,049,103.71 and 871,470,848.54 is: 1,305,503,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,013,537.86 : 1,895,049,103.71 = 871,470,848.54 : x
  2. Step 2: Convert to fraction form
    1,265,013,537.86/1,895,049,103.71 = 871,470,848.54/x
  3. Step 3: Cross multiply
    1,265,013,537.86x = 1,895,049,103.71 × 871,470,848.54
  4. Step 4: Simplify right side
    1,265,013,537.86x = 1,651,480,050,435,120,128
  5. Step 5: Solve for x
    x = 1,651,480,050,435,120,128/1,265,013,537.86
  6. Step 6: Final answer
    x = 1,305,503,855.10

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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.