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Finding the Fourth Proportional to 1,994,323,303.60, 2,991,545,898.88 and 684,206,978.78

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Solution

The fourth proportional to 1,994,323,303.60, 2,991,545,898.88 and 684,206,978.78 is: 1,026,331,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,323,303.60 : 2,991,545,898.88 = 684,206,978.78 : x
  2. Step 2: Convert to fraction form
    1,994,323,303.60/2,991,545,898.88 = 684,206,978.78/x
  3. Step 3: Cross multiply
    1,994,323,303.60x = 2,991,545,898.88 × 684,206,978.78
  4. Step 4: Simplify right side
    1,994,323,303.60x = 2,046,836,581,354,384,128
  5. Step 5: Solve for x
    x = 2,046,836,581,354,384,128/1,994,323,303.60
  6. Step 6: Final answer
    x = 1,026,331,376.49

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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.