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Finding the Fourth Proportional to 278,903.60, 418,527 and 110,395.16

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Solution

The fourth proportional to 278,903.60, 418,527 and 110,395.16 is: 165,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,903.60 : 418,527 = 110,395.16 : x
  2. Step 2: Convert to fraction form
    278,903.60/418,527 = 110,395.16/x
  3. Step 3: Cross multiply
    278,903.60x = 418,527 × 110,395.16
  4. Step 4: Simplify right side
    278,903.60x = 46,203,355,129.32
  5. Step 5: Solve for x
    x = 46,203,355,129.32/278,903.60
  6. Step 6: Final answer
    x = 165,660.66

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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.