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Finding the Fourth Proportional to 278,268,410.40, 417,276,644.40 and 105,687,866.40

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Solution

The fourth proportional to 278,268,410.40, 417,276,644.40 and 105,687,866.40 is: 158,483,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,268,410.40 : 417,276,644.40 = 105,687,866.40 : x
  2. Step 2: Convert to fraction form
    278,268,410.40/417,276,644.40 = 105,687,866.40/x
  3. Step 3: Cross multiply
    278,268,410.40x = 417,276,644.40 × 105,687,866.40
  4. Step 4: Simplify right side
    278,268,410.40x = 44,101,078,245,187,512
  5. Step 5: Solve for x
    x = 44,101,078,245,187,512/278,268,410.40
  6. Step 6: Final answer
    x = 158,483,955.05

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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.