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Finding the Fourth Proportional to 1,996,200,808.70, 2,994,217,978.05 and 522,307,985.86

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Solution

The fourth proportional to 1,996,200,808.70, 2,994,217,978.05 and 522,307,985.86 is: 783,440,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,200,808.70 : 2,994,217,978.05 = 522,307,985.86 : x
  2. Step 2: Convert to fraction form
    1,996,200,808.70/2,994,217,978.05 = 522,307,985.86/x
  3. Step 3: Cross multiply
    1,996,200,808.70x = 2,994,217,978.05 × 522,307,985.86
  4. Step 4: Simplify right side
    1,996,200,808.70x = 1,563,903,961,323,514,624
  5. Step 5: Solve for x
    x = 1,563,903,961,323,514,624/1,996,200,808.70
  6. Step 6: Final answer
    x = 783,440,200.26

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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.