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Finding the Fourth Proportional to 278,626.56, 384,602.76 and 165,448.50

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Solution

The fourth proportional to 278,626.56, 384,602.76 and 165,448.50 is: 228,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,626.56 : 384,602.76 = 165,448.50 : x
  2. Step 2: Convert to fraction form
    278,626.56/384,602.76 = 165,448.50/x
  3. Step 3: Cross multiply
    278,626.56x = 384,602.76 × 165,448.50
  4. Step 4: Simplify right side
    278,626.56x = 63,631,949,737.86
  5. Step 5: Solve for x
    x = 63,631,949,737.86/278,626.56
  6. Step 6: Final answer
    x = 228,377.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.