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Finding the Fourth Proportional to 1,191,700,987.47, 1,784,997,669.06 and 969,316,745.40

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Solution

The fourth proportional to 1,191,700,987.47, 1,784,997,669.06 and 969,316,745.40 is: 1,451,897,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,700,987.47 : 1,784,997,669.06 = 969,316,745.40 : x
  2. Step 2: Convert to fraction form
    1,191,700,987.47/1,784,997,669.06 = 969,316,745.40/x
  3. Step 3: Cross multiply
    1,191,700,987.47x = 1,784,997,669.06 × 969,316,745.40
  4. Step 4: Simplify right side
    1,191,700,987.47x = 1,730,228,131,119,825,408
  5. Step 5: Solve for x
    x = 1,730,228,131,119,825,408/1,191,700,987.47
  6. Step 6: Final answer
    x = 1,451,897,874.81

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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.